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53359382390016 = 2832329413138117
BaseRepresentation
bin11000010000111101100110…
…00010000110010100000000
320222221002220002210112110110
430020132303002012110000
523443220003342440031
6305252543432431320
714145042144533223
oct1410366302062400
9228832802715413
1053359382390016
111600265031264a
125b994a5248540
1323a09ca888761
14d268720875ba
15627eeee69c46
hex3087b3086500

53359382390016 has 576 divisors, whose sum is σ = 157558331589120. Its totient is φ = 15972661985280.

The previous prime is 53359382389997. The next prime is 53359382390071. The reversal of 53359382390016 is 61009328395335.

It is a super-2 number, since 2×533593823900162 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6573777190 + ... + 6573785306.

It is an arithmetic number, because the mean of its divisors is an integer number (273538770120).

Almost surely, 253359382390016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53359382390016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78779165794560).

53359382390016 is an abundant number, since it is smaller than the sum of its proper divisors (104198949199104).

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

53359382390016 is a wasteful number, since it uses less digits than its factorization.

53359382390016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8542 (or 8528 counting only the distinct ones).

The product of its (nonzero) digits is 15746400, while the sum is 57.

The spelling of 53359382390016 in words is "fifty-three trillion, three hundred fifty-nine billion, three hundred eighty-two million, three hundred ninety thousand, sixteen".