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45159717129604 = 227211439672
BaseRepresentation
bin10100100010010100100001…
…11001011100110110000100
312220220020010022222222111021
422101022100321130312010
521404344100041121404
6240014030533120524
712340452614025100
oct1221122071346604
9186806108888437
1045159717129604
1113431146010000
125094309a89144
131c2770a1175bc
14b21a55d80900
15534a94152454
hex291290e5cd84

45159717129604 has 135 divisors (see below), whose sum is σ = 101150379471015. Its totient is φ = 17590259720880.

The previous prime is 45159717129599. The next prime is 45159717129629. The reversal of 45159717129604 is 40692171795154.

The square root of 45159717129604 is 6720098.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 11383844029 + ... + 11383847995.

Almost surely, 245159717129604 is an apocalyptic number.

45159717129604 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

45159717129604 is the 6720098-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45159717129604

45159717129604 is an abundant number, since it is smaller than the sum of its proper divisors (55990662341411).

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

45159717129604 is an frugal number, since it uses more digits than its factorization.

45159717129604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7996 (or 3987 counting only the distinct ones).

The product of its (nonzero) digits is 19051200, while the sum is 61.

The spelling of 45159717129604 in words is "forty-five trillion, one hundred fifty-nine billion, seven hundred seventeen million, one hundred twenty-nine thousand, six hundred four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 121 154 196 242 308 484 539 847 1078 1331 1694 2156 2662 3388 3967 5324 5929 7934 9317 11858 14641 15868 18634 23716 27769 29282 37268 43637 55538 58564 65219 87274 102487 111076 130438 174548 194383 204974 260876 305459 388766 409948 480007 610918 717409 777532 960014 1221836 1434818 1920028 2138213 2869636 3360049 4276426 5280077 6720098 8552852 10560154 13440196 15737089 21120308 23520343 31474178 36960539 47040686 58080847 62948356 73921078 94081372 110159623 116161694 147842156 173107979 220319246 232323388 258723773 346215958 406565929 440638492 517447546 692431916 771117361 813131858 1034895092 1211755853 1542234722 1626263716 1904187769 2423511706 2845961503 3084469444 3808375538 4847023412 5691923006 7616751076 8482290971 11383846012 13329314383 16964581942 20946065459 26658628766 33929163884 41892130918 53317257532 83784261836 93305200681 146622458213 186610401362 230406720049 293244916426 373220802724 460813440098 586489832852 921626880196 1026357207491 1612847040343 2052714414982 3225694080686 4105428829964 6451388161372 11289929282401 22579858564802 45159717129604