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10064120058 = 232472253109
BaseRepresentation
bin10010101111101111…
…00100100011111010
3221222101102021022100
421113313210203322
5131102403320213
64342353004230
7504253415616
oct112767444372
927871367270
1010064120058
1142a4a2a3a3
121b4a553676
13c4507a835
146b6894346
153dd826773
hex257de48fa

10064120058 has 36 divisors (see below), whose sum is σ = 22279501530. Its totient is φ = 3283316976.

The previous prime is 10064120057. The next prime is 10064120069. The reversal of 10064120058 is 85002146001.

10064120058 is a `hidden beast` number, since 10 + 0 + 641 + 2 + 0 + 0 + 5 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5232062889 + 4832057169 = 72333^2 + 69513^2 .

It is not an unprimeable number, because it can be changed into a prime (10064120057) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 86793 + ... + 166316.

Almost surely, 210064120058 is an apocalyptic number.

10064120058 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

10064120058 is an abundant number, since it is smaller than the sum of its proper divisors (12215381472).

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

10064120058 is a wasteful number, since it uses less digits than its factorization.

10064120058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253211 (or 253161 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 10064120058 its reverse (85002146001), we get a palindrome (95066266059).

The spelling of 10064120058 in words is "ten billion, sixty-four million, one hundred twenty thousand, fifty-eight".

Divisors: 1 2 3 6 9 18 47 94 141 282 423 846 2209 4418 6627 13254 19881 39762 253109 506218 759327 1518654 2277981 4555962 11896123 23792246 35688369 71376738 107065107 214130214 559117781 1118235562 1677353343 3354706686 5032060029 10064120058