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53332682933376 = 27337112137132989
BaseRepresentation
bin11000010000001011110111…
…00111110000010010000000
320222211112222101001121102000
430020011323213300102000
523442300313312332001
6305232410222424000
714143105413101610
oct1410057347602200
9228745871047360
1053332682933376
1115aa229a154700
125b94293732000
13239b3342360c2
14d2545c11aa40
1562748ae9ea86
hex30817b9f0480

53332682933376 has 768 divisors, whose sum is σ = 199177314336000. Its totient is φ = 13751427317760.

The previous prime is 53332682933371. The next prime is 53332682933381. The reversal of 53332682933376 is 67333928623335.

53332682933376 is a `hidden beast` number, since 5 + 3 + 3 + 3 + 2 + 6 + 8 + 293 + 337 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (53332682933371) and next prime (53332682933381).

It is a super-5 number, since 5×533326829333765 (a number of 70 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (53332682933371) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 400964290 + ... + 401097278.

It is an arithmetic number, because the mean of its divisors is an integer number (259345461375).

Almost surely, 253332682933376 is an apocalyptic number.

53332682933376 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 53332682933376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99588657168000).

53332682933376 is an abundant number, since it is smaller than the sum of its proper divisors (145844631402624).

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

53332682933376 is a wasteful number, since it uses less digits than its factorization.

53332682933376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133178 (or 133149 counting only the distinct ones).

The product of its digits is 264539520, while the sum is 63.

The spelling of 53332682933376 in words is "fifty-three trillion, three hundred thirty-two billion, six hundred eighty-two million, nine hundred thirty-three thousand, three hundred seventy-six".