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534582321382368 = 253374112716975213
BaseRepresentation
bin111100110001100110010010…
…1010111101000001111100000
32121002210120102010101100001000
41321203030211113220033200
51030032044043233213433
65132543421135112000
7220413204162550050
oct17143144527501740
92532716363340030
10534582321382368
111453750a8984996
124bb59775972600
1319c39b86aa1a6c
149601ccb13b560
1541c0aa647b113
hex1e633255e83e0

534582321382368 has 384 divisors, whose sum is σ = 1839776409354240. Its totient is φ = 147839158333440.

The previous prime is 534582321382321. The next prime is 534582321382441. The reversal of 534582321382368 is 863283123285435.

534582321382368 is a `hidden beast` number, since 5 + 3 + 4 + 5 + 8 + 232 + 1 + 38 + 2 + 368 = 666.

It is a super-2 number, since 2×5345823213823682 (a number of 30 digits) contains 22 as substring.

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

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, 23004330 + ... + 39979542.

It is an arithmetic number, because the mean of its divisors is an integer number (4791084399360).

Almost surely, 2534582321382368 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 534582321382368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919888204677120).

534582321382368 is an abundant number, since it is smaller than the sum of its proper divisors (1305194087971872).

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

534582321382368 is a wasteful number, since it uses less digits than its factorization.

534582321382368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16975407 (or 16975393 counting only the distinct ones).

The product of its digits is 199065600, while the sum is 63.

The spelling of 534582321382368 in words is "five hundred thirty-four trillion, five hundred eighty-two billion, three hundred twenty-one million, three hundred eighty-two thousand, three hundred sixty-eight".