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80132513538 = 23711229218749
BaseRepresentation
bin100101010100001000…
…1010001111100000010
321122211120110110101210
41022220101101330002
52303102410413123
6100451245510550
75534521061310
oct1125021217402
9248746413353
1080132513538
1130a90795500
1213644272456
1377307206ac
143c425d10b0
15213ee46e93
hex12a8451f02

80132513538 has 144 divisors (see below), whose sum is σ = 208517400000. Its totient is φ = 20094856320.

The previous prime is 80132513519. The next prime is 80132513551. The reversal of 80132513538 is 83531523108.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 80132513496 and 80132513505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4264588 + ... + 4283336.

It is an arithmetic number, because the mean of its divisors is an integer number (1448037500).

Almost surely, 280132513538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80132513538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104258700000).

80132513538 is an abundant number, since it is smaller than the sum of its proper divisors (128384886462).

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

80132513538 is a wasteful number, since it uses less digits than its factorization.

80132513538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18841 (or 18801 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 80132513538 in words is "eighty billion, one hundred thirty-two million, five hundred thirteen thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 7 11 14 21 22 29 33 42 58 66 77 87 121 154 174 203 231 242 319 363 406 462 609 638 726 841 847 957 1218 1682 1694 1914 2233 2523 2541 3509 4466 5046 5082 5887 6699 7018 9251 10527 11774 13398 17661 18502 18749 21054 24563 27753 35322 37498 49126 55506 56247 64757 73689 101761 112494 129514 131243 147378 194271 203522 206239 262486 305283 388542 393729 412478 543721 610566 618717 712327 787458 1087442 1237434 1424654 1443673 1631163 2136981 2268629 2887346 3262326 3806047 4273962 4331019 4537258 5980931 6805887 7612094 8662038 11418141 11961862 13611774 15767909 15880403 17942793 22836282 31535818 31760806 35885586 41866517 47303727 47641209 65790241 83733034 94607454 95282418 110375363 125599551 131580482 173446999 197370723 220750726 251199102 331126089 346893998 394741446 460531687 520340997 662252178 921063374 1040681994 1214128993 1381595061 1907916989 2428257986 2763190122 3642386979 3815833978 5723750967 7284773958 11447501934 13355418923 26710837846 40066256769 80132513538