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56404563700 = 225247106111311
BaseRepresentation
bin110100100001111110…
…010101011011110100
312101120221010201100211
4310201332111123310
51411004032014300
641524545315204
74034520611062
oct644176253364
9171527121324
1056404563700
1121a149a6601
12ab21935b04
13541b8b73a4
142a31171032
151701c934ba
hexd21f956f4

56404563700 has 72 divisors (see below), whose sum is σ = 125130991104. Its totient is φ = 22059024000.

The previous prime is 56404563673. The next prime is 56404563713. The reversal of 56404563700 is 736540465.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4981045 + ... + 4992355.

It is an arithmetic number, because the mean of its divisors is an integer number (1737930432).

Almost surely, 256404563700 is an apocalyptic number.

56404563700 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 56404563700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62565495552).

56404563700 is an abundant number, since it is smaller than the sum of its proper divisors (68726427404).

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

56404563700 is a wasteful number, since it uses less digits than its factorization.

56404563700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12433 (or 12426 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 40.

The spelling of 56404563700 in words is "fifty-six billion, four hundred four million, five hundred sixty-three thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 470 940 1061 1175 2122 2350 4244 4700 5305 10610 11311 21220 22622 26525 45244 49867 53050 56555 99734 106100 113110 199468 226220 249335 282775 498670 531617 565550 997340 1063234 1131100 1246675 2126468 2493350 2658085 4986700 5316170 10632340 12000971 13290425 24001942 26580850 48003884 53161700 60004855 120009710 240019420 300024275 564045637 600048550 1128091274 1200097100 2256182548 2820228185 5640456370 11280912740 14101140925 28202281850 56404563700