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20879594037990 = 23252937792116921
BaseRepresentation
bin1001011111101011010001…
…10010010010001011100110
32201221001212210211022110100
410233311220302102023212
510214042402033203430
6112223541511004530
74253333543002542
oct457655062221346
981831783738410
1020879594037990
11671aa93560616
122412731969746
13b85c25246cbc
14522813484a22
152631d5ba6960
hex12fd68c922e6

20879594037990 has 96 divisors (see below), whose sum is σ = 56173795423200. Its totient is φ = 5374470366720.

The previous prime is 20879594037979. The next prime is 20879594037997. The reversal of 20879594037990 is 9973049597802.

20879594037990 is a `hidden beast` number, since 2 + 0 + 87 + 9 + 5 + 94 + 0 + 379 + 90 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20879594037997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8804730 + ... + 10921650.

It is an arithmetic number, because the mean of its divisors is an integer number (585143702325).

Almost surely, 220879594037990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20879594037990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28086897711600).

20879594037990 is an abundant number, since it is smaller than the sum of its proper divisors (35294201385210).

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

20879594037990 is a wasteful number, since it uses less digits than its factorization.

20879594037990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120742 (or 2120739 counting only the distinct ones).

The product of its (nonzero) digits is 308629440, while the sum is 72.

The spelling of 20879594037990 in words is "twenty trillion, eight hundred seventy-nine billion, five hundred ninety-four million, thirty-seven thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1305 2610 3779 7558 11337 18895 22674 34011 37790 56685 68022 109591 113370 170055 219182 328773 340110 547955 657546 986319 1095910 1643865 1972638 2116921 3287730 4233842 4931595 6350763 9863190 10584605 12701526 19052289 21169210 31753815 38104578 61390709 63507630 95261445 122781418 184172127 190522890 306953545 368344254 552516381 613907090 920860635 1105032762 1841721270 2762581905 5525163810 7999844459 15999688918 23999533377 39999222295 47999066754 71998600131 79998444590 119997666885 143997200262 231995489311 239995333770 359993000655 463990978622 695986467933 719986001310 1159977446555 1391972935866 2087959403799 2319954893110 3479932339665 4175918807598 6959864679330 10439797018995 20879594037990