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53255153952 = 2532711133159101
BaseRepresentation
bin110001100110010000…
…010010100100100000
312002110102222010101100
4301212100102210200
51333031304411302
640244242434400
73563466224340
oct614620224440
9162412863340
1053255153952
1120649167430
12a3a3062a00
13503927c820
142812b94d20
1515ba539d1c
hexc66412920

53255153952 has 1152 divisors, whose sum is σ = 215568138240. Its totient is φ = 12026880000.

The previous prime is 53255153947. The next prime is 53255153977. The reversal of 53255153952 is 25935155235.

53255153952 is a `hidden beast` number, since 5 + 3 + 2 + 551 + 5 + 3 + 95 + 2 = 666.

It is a super-2 number, since 2×532551539522 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 53255153898 and 53255153907.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 527278702 + ... + 527278802.

It is an arithmetic number, because the mean of its divisors is an integer number (187125120).

Almost surely, 253255153952 is an apocalyptic number.

53255153952 is a gapful number since it is divisible by the number (52) 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 53255153952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107784069120).

53255153952 is an abundant number, since it is smaller than the sum of its proper divisors (162312984288).

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

53255153952 is a wasteful number, since it uses less digits than its factorization.

53255153952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 227 counting only the distinct ones).

The product of its digits is 1012500, while the sum is 45.

The spelling of 53255153952 in words is "fifty-three billion, two hundred fifty-five million, one hundred fifty-three thousand, nine hundred fifty-two".