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58318390656 = 27321725711587
BaseRepresentation
bin110110010100000011…
…000000010110000000
312120112022100012101200
4312110003000112000
51423414002000111
642442513301200
74133120066361
oct662403002600
9176468305350
1058318390656
1122807236079
12b376864800
13566524c686
142b733d7b68
1517b4cd3256
hexd940c0580

58318390656 has 192 divisors, whose sum is σ = 178395637680. Its totient is φ = 18223202304.

The previous prime is 58318390643. The next prime is 58318390699. The reversal of 58318390656 is 65609381385.

58318390656 is a `hidden beast` number, since 583 + 1 + 8 + 3 + 9 + 0 + 6 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×583183906562 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5027295 + ... + 5038881.

Almost surely, 258318390656 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 58318390656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89197818840).

58318390656 is an abundant number, since it is smaller than the sum of its proper divisors (120077247024).

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

58318390656 is a wasteful number, since it uses less digits than its factorization.

58318390656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11881 (or 11866 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 58318390656 in words is "fifty-eight billion, three hundred eighteen million, three hundred ninety thousand, six hundred fifty-six".