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56872951300 = 225211103350051
BaseRepresentation
bin110100111101111001…
…000101111000000100
312102210120111021100201
4310331321011320010
51412433433420200
642043240420244
74052236052434
oct647571057004
9172716437321
1056872951300
11221353310a0
12b032777684
135494951609
142a774582c4
15172ce64c6a
hexd3de45e04

56872951300 has 72 divisors (see below), whose sum is σ = 134766811872. Its totient is φ = 20660640000.

The previous prime is 56872951277. The next prime is 56872951301. The reversal of 56872951300 is 315927865.

56872951300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×568729513003 (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (56872951301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1111275 + ... + 1161325.

It is an arithmetic number, because the mean of its divisors is an integer number (1871761276).

Almost surely, 256872951300 is an apocalyptic number.

56872951300 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 56872951300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67383405936).

56872951300 is an abundant number, since it is smaller than the sum of its proper divisors (77893860572).

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

56872951300 is a wasteful number, since it uses less digits than its factorization.

56872951300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51109 (or 51102 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 46.

The spelling of 56872951300 in words is "fifty-six billion, eight hundred seventy-two million, nine hundred fifty-one thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1033 1100 2066 4132 5165 10330 11363 20660 22726 25825 45452 50051 51650 56815 100102 103300 113630 200204 227260 250255 284075 500510 550561 568150 1001020 1101122 1136300 1251275 2202244 2502550 2752805 5005100 5505610 11011220 13764025 27528050 51702683 55056100 103405366 206810732 258513415 517026830 568729513 1034053660 1137459026 1292567075 2274918052 2585134150 2843647565 5170268300 5687295130 11374590260 14218237825 28436475650 56872951300