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52159159416 = 2337131729193251
BaseRepresentation
bin110000100100111011…
…011001110001111000
311222122001122211112010
4300210323121301320
51323310221100131
635543411445520
73524360353110
oct604473316170
9158561584463
1052159159416
1120136538521
12a137bb68a0
134bc31a2050
14274b3ba040
1515541e5b46
hexc24ed9c78

52159159416 has 512 divisors, whose sum is σ = 177404774400. Its totient is φ = 12386304000.

The previous prime is 52159159411. The next prime is 52159159417. The reversal of 52159159416 is 61495195125.

52159159416 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-2 number, since 2×521591594162 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52159159411) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 207805291 + ... + 207805541.

It is an arithmetic number, because the mean of its divisors is an integer number (346493700).

Almost surely, 252159159416 is an apocalyptic number.

52159159416 is a gapful number since it is divisible by the number (56) 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 52159159416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88702387200).

52159159416 is an abundant number, since it is smaller than the sum of its proper divisors (125245614984).

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

52159159416 is a wasteful number, since it uses less digits than its factorization.

52159159416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 515 counting only the distinct ones).

The product of its digits is 486000, while the sum is 48.

It can be divided in two parts, 52159 and 159416, that added together give a triangular number (211575 = T650).

The spelling of 52159159416 in words is "fifty-two billion, one hundred fifty-nine million, one hundred fifty-nine thousand, four hundred sixteen".