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132772585676240 = 245372231163317291
BaseRepresentation
bin11110001100000110000110…
…110011100001110111010000
3122102002221020210002221100002
4132030012012303201313100
5114400321223413114430
61150214514523145132
736652334306125436
oct3614060663416720
9572087223087302
10132772585676240
113933a5a0270594
1212a842723751a8
13591152a2ca173
1424b032811cd56
151053abdc40845
hex78c186ce1dd0

132772585676240 has 160 divisors (see below), whose sum is σ = 318506900253696. Its totient is φ = 51434537656320.

The previous prime is 132772585676233. The next prime is 132772585676249. The reversal of 132772585676240 is 42676585277231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132772585676249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7678701995 + ... + 7678719285.

Almost surely, 2132772585676240 is an apocalyptic number.

132772585676240 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 132772585676240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159253450126848).

132772585676240 is an abundant number, since it is smaller than the sum of its proper divisors (185734314577456).

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

132772585676240 is a wasteful number, since it uses less digits than its factorization.

132772585676240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29197 (or 29191 counting only the distinct ones).

The product of its (nonzero) digits is 237081600, while the sum is 65.

The spelling of 132772585676240 in words is "one hundred thirty-two trillion, seven hundred seventy-two billion, five hundred eighty-five million, six hundred seventy-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 223 296 370 446 592 740 892 1115 1480 1784 2230 2960 3568 4460 8251 8920 11633 16502 17291 17840 23266 33004 34582 41255 46532 58165 66008 69164 82510 86455 93064 116330 132016 138328 165020 172910 186128 232660 276656 330040 345820 430421 465320 639767 660080 691640 860842 930640 1279534 1383280 1721684 2152105 2559068 2594159 3198835 3443368 3855893 4304210 5118136 5188318 6397670 6886736 7711786 8608420 10236272 10376636 12795340 12970795 15423572 17216840 19279465 20753272 25590680 25941590 30847144 34433680 38558930 41506544 51181360 51883180 61694288 77117860 95983883 103766360 142668041 154235720 191967766 201146203 207532720 285336082 308471440 383935532 402292406 479919415 570672164 713340205 767871064 804584812 959838830 1005731015 1141344328 1426680410 1535742128 1609169624 1919677660 2011462030 2282688656 2853360820 3218339248 3839355320 4022924060 5706721640 7442409511 7678710640 8045848120 11413443280 14884819022 16091696240 29769638044 37212047555 44855603269 59539276088 74424095110 89711206538 119078552176 148848190220 179422413076 224278016345 297696380440 358844826152 448556032690 595392760880 717689652304 897112065380 1659657320953 1794224130760 3319314641906 3588448261520 6638629283812 8298286604765 13277258567624 16596573209530 26554517135248 33193146419060 66386292838120 132772585676240