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132214511124560 = 24519799071213951
BaseRepresentation
bin11110000011111110010110…
…111110000100000001010000
3122100010120202121101022220002
4132003332112332010001100
5114312200304321441220
61145110301412505132
736564116560531244
oct3603762676040120
9570116677338802
10132214511124560
113914494a782937
12129b408431b1a8
1358a0a0c5c6057
142491306056424
151044309942c75
hex783f96f84050

132214511124560 has 160 divisors (see below), whose sum is σ = 328035080601600. Its totient is φ = 49413553113600.

The previous prime is 132214511124559. The next prime is 132214511124593. The reversal of 132214511124560 is 65421115412231.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108305585 + ... + 109519535.

It is an arithmetic number, because the mean of its divisors is an integer number (2050219253760).

Almost surely, 2132214511124560 is an apocalyptic number.

132214511124560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132214511124560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164017540300800).

132214511124560 is an abundant number, since it is smaller than the sum of its proper divisors (195820569477040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132214511124560 is a wasteful number, since it uses less digits than its factorization.

132214511124560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214969 (or 1214963 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 38.

Adding to 132214511124560 its reverse (65421115412231), we get a palindrome (197635626536791).

The spelling of 132214511124560 in words is "one hundred thirty-two trillion, two hundred fourteen billion, five hundred eleven million, one hundred twenty-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 79 80 95 152 158 190 304 316 380 395 632 760 790 907 1264 1501 1520 1580 1814 3002 3160 3628 4535 6004 6320 7256 7505 9070 12008 14512 15010 17233 18140 24016 30020 34466 36280 60040 68932 71653 72560 86165 120080 137864 143306 172330 275728 286612 344660 358265 573224 689320 716530 1146448 1213951 1361407 1378640 1433060 2427902 2722814 2866120 4855804 5445628 5732240 6069755 6807035 9711608 10891256 12139510 13614070 19423216 21782512 23065069 24279020 27228140 46130138 48558040 54456280 92260276 95902129 97116080 108912560 115325345 184520552 191804258 230650690 369041104 383608516 461301380 479510645 767217032 922602760 959021290 1101053557 1534434064 1822140451 1845205520 1918042580 2202107114 3644280902 3836085160 4404214228 5505267785 7288561804 7672170320 8808428456 9110702255 11010535570 14577123608 17616856912 18221404510 20920017583 22021071140 29154247216 36442809020 41840035166 44042142280 72885618040 83680070332 86983231003 88084284560 104600087915 145771236080 167360140664 173966462006 209200175830 334720281328 347932924012 418400351660 434916155015 695865848024 836800703320 869832310030 1391731696048 1652681389057 1673601406640 1739664620060 3305362778114 3479329240120 6610725556228 6958658480240 8263406945285 13221451112456 16526813890570 26442902224912 33053627781140 66107255562280 132214511124560