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56555074700 = 225217210718289
BaseRepresentation
bin110100101010111100…
…011111010010001100
312101222102100110122022
4310222330133102030
51411311044342300
641551523305312
74041326126465
oct645274372214
9171872313568
1056555074700
1121a91957763
12ab6421b238
135443b34a57
142a4714dd6c
1517100c4285
hexd2af1f48c

56555074700 has 108 divisors (see below), whose sum is σ = 131593843080. Its totient is φ = 21091184640.

The previous prime is 56555074687. The next prime is 56555074711. The reversal of 56555074700 is 747055565.

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 35 ways as a sum of consecutive naturals, for example, 3083156 + ... + 3101444.

It is an arithmetic number, because the mean of its divisors is an integer number (1218461510).

Almost surely, 256555074700 is an apocalyptic number.

56555074700 is a gapful number since it is divisible by the number (50) 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 56555074700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65796921540).

56555074700 is an abundant number, since it is smaller than the sum of its proper divisors (75038768380).

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

56555074700 is a wasteful number, since it uses less digits than its factorization.

56555074700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18444 (or 18420 counting only the distinct ones).

The product of its (nonzero) digits is 735000, while the sum is 44.

The spelling of 56555074700 in words is "fifty-six billion, five hundred fifty-five million, seventy-four thousand, seven hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 107 170 214 289 340 425 428 535 578 850 1070 1156 1445 1700 1819 2140 2675 2890 3638 5350 5780 7225 7276 9095 10700 14450 18190 18289 28900 30923 36380 36578 45475 61846 73156 90950 91445 123692 154615 181900 182890 309230 310913 365780 457225 618460 621826 773075 914450 1243652 1546150 1554565 1828900 1956923 3092300 3109130 3913846 5285521 6218260 7772825 7827692 9784615 10571042 15545650 19569230 21142084 26427605 31091300 33267691 39138460 48923075 52855210 66535382 97846150 105710420 132138025 133070764 166338455 195692300 264276050 332676910 528552100 565550747 665353820 831692275 1131101494 1663384550 2262202988 2827753735 3326769100 5655507470 11311014940 14138768675 28277537350 56555074700