Search a number
-
+
58790484256 = 257262457519
BaseRepresentation
bin110110110000001011…
…111001100100100000
312121202012200001001211
4312300023321210200
51430400330444011
643001420035504
74150611604510
oct666013714440
9177665601054
1058790484256
1122a29771a79
12b488992b94
13570bcb36ba
142bb9da7840
1517e1487b21
hexdb02f9920

58790484256 has 24 divisors (see below), whose sum is σ = 132278590080. Its totient is φ = 25195921728.

The previous prime is 58790484251. The next prime is 58790484283. The reversal of 58790484256 is 65248409785.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 58790484256.

It is not an unprimeable number, because it can be changed into a prime (58790484251) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 131228536 + ... + 131228983.

It is an arithmetic number, because the mean of its divisors is an integer number (5511607920).

Almost surely, 258790484256 is an apocalyptic number.

58790484256 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

58790484256 is an abundant number, since it is smaller than the sum of its proper divisors (73488105824).

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

58790484256 is a wasteful number, since it uses less digits than its factorization.

58790484256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262457536 (or 262457528 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 58.

The spelling of 58790484256 in words is "fifty-eight billion, seven hundred ninety million, four hundred eighty-four thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 262457519 524915038 1049830076 1837202633 2099660152 3674405266 4199320304 7348810532 8398640608 14697621064 29395242128 58790484256