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56855537920 = 285372395023
BaseRepresentation
bin110100111100110110…
…101010100100000000
312102202100201120200201
4310330312222210000
51412420004203140
642041415254544
74051635045526
oct647466524400
9172670646621
1056855537920
1122126518175
12b02897a454
13549116563c
142a75004316
15172b67549a
hexd3cdaa900

56855537920 has 144 divisors (see below), whose sum is σ = 140480686080. Its totient is φ = 22030589952.

The previous prime is 56855537909. The next prime is 56855537951. The reversal of 56855537920 is 2973555865.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11316529 + ... + 11321551.

It is an arithmetic number, because the mean of its divisors is an integer number (975560320).

Almost surely, 256855537920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56855537920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70240343040).

56855537920 is an abundant number, since it is smaller than the sum of its proper divisors (83625148160).

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

56855537920 is a wasteful number, since it uses less digits than its factorization.

56855537920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5320 (or 5306 counting only the distinct ones).

The product of its (nonzero) digits is 11340000, while the sum is 55.

The spelling of 56855537920 in words is "fifty-six billion, eight hundred fifty-five million, five hundred thirty-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 128 148 160 185 239 256 296 320 370 478 592 640 740 956 1184 1195 1280 1480 1912 2368 2390 2960 3824 4736 4780 5023 5920 7648 8843 9472 9560 10046 11840 15296 17686 19120 20092 23680 25115 30592 35372 38240 40184 44215 47360 50230 61184 70744 76480 80368 88430 100460 141488 152960 160736 176860 185851 200920 282976 305920 321472 353720 371702 401840 565952 642944 707440 743404 803680 929255 1131904 1200497 1285888 1414880 1486808 1607360 1858510 2263808 2400994 2829760 2973616 3214720 3717020 4801988 5659520 5947232 6002485 6429440 7434040 9603976 11319040 11894464 12004970 14868080 19207952 23788928 24009940 29736160 38415904 44418389 47577856 48019880 59472320 76831808 88836778 96039760 118944640 153663616 177673556 192079520 222091945 237889280 307327232 355347112 384159040 444183890 710694224 768318080 888367780 1421388448 1536636160 1776735560 2842776896 3553471120 5685553792 7106942240 11371107584 14213884480 28427768960 56855537920