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52917196416 = 2737231257353
BaseRepresentation
bin110001010010000111…
…000101011010000000
312001120220001002210120
4301102013011122000
51331333300241131
640150531100240
73552223514400
oct612207053200
9161526032716
1052917196416
1120495417987
12a309a41680
134cb4251a56
1427bdd40800
15159aa2e496
hexc521c5680

52917196416 has 384 divisors, whose sum is σ = 169921359360. Its totient is φ = 14533263360.

The previous prime is 52917196411. The next prime is 52917196429. The reversal of 52917196416 is 61469171925.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

Its product of digits (816480) is a multiple of the sum of its prime factors (672).

It is not an unprimeable number, because it can be changed into a prime (52917196411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149906896 + ... + 149907248.

It is an arithmetic number, because the mean of its divisors is an integer number (442503540).

Almost surely, 252917196416 is an apocalyptic number.

52917196416 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 52917196416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84960679680).

52917196416 is an abundant number, since it is smaller than the sum of its proper divisors (117004162944).

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

52917196416 is a wasteful number, since it uses less digits than its factorization.

52917196416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 653 counting only the distinct ones).

The product of its digits is 816480, while the sum is 51.

The spelling of 52917196416 in words is "fifty-two billion, nine hundred seventeen million, one hundred ninety-six thousand, four hundred sixteen".