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132501343626520 = 235118311069327779
BaseRepresentation
bin11110001000001001011111…
…100001001110010100011000
3122101011000010110100011001121
4132020021133201032110120
5114331400222432022040
61145450135452455024
736623622546550531
oct3610113741162430
9571130113304047
10132501343626520
11392455601a0a50
1212a3b793a7a474
1358c1a914386ab
1424a11564ab688
15104b9e6115c4a
hex78825f84e518

132501343626520 has 128 divisors (see below), whose sum is σ = 329179751712000. Its totient is φ = 47597351380480.

The previous prime is 132501343626499. The next prime is 132501343626643. The reversal of 132501343626520 is 25626343105231.

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, 404075991 + ... + 404403769.

It is an arithmetic number, because the mean of its divisors is an integer number (2571716810250).

Almost surely, 2132501343626520 is an apocalyptic number.

132501343626520 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 132501343626520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164589875856000).

132501343626520 is an abundant number, since it is smaller than the sum of its proper divisors (196678408085480).

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

132501343626520 is a wasteful number, since it uses less digits than its factorization.

132501343626520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338953 (or 338949 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 43.

The spelling of 132501343626520 in words is "one hundred thirty-two trillion, five hundred one billion, three hundred forty-three million, six hundred twenty-six thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 83 88 110 166 220 332 415 440 664 830 913 1660 1826 3320 3652 4565 7304 9130 11069 18260 22138 36520 44276 55345 88552 110690 121759 221380 243518 327779 442760 487036 608795 655558 918727 974072 1217590 1311116 1638895 1837454 2435180 2622232 3277790 3605569 3674908 4593635 4870360 6555580 7211138 7349816 9187270 10105997 13111160 14422276 18027845 18374540 20211994 27205657 28844552 36055690 36749080 40423988 50529985 54411314 72111380 80847976 101059970 108822628 136028285 144222760 202119940 217645256 272056570 299262227 404239880 544113140 598524454 1088226280 1197048908 1496311135 2394097816 2992622270 3628185751 5985244540 7256371502 11970489080 14512743004 18140928755 29025486008 36281857510 39910043261 72563715020 79820086522 145127430040 159640173044 199550216305 301139417333 319280346088 399100432610 602278834666 798200865220 1204557669332 1505697086665 1596401730440 2409115338664 3011394173330 3312533590663 6022788346660 6625067181326 12045576693320 13250134362652 16562667953315 26500268725304 33125335906630 66250671813260 132501343626520