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10058933072 = 243123717681
BaseRepresentation
bin10010101111000111…
…10010001101010000
3221222000122202002202
421113203302031100
5131100041324242
64342045502332
7504161343326
oct112743621520
927860582082
1010058933072
1142a2007331
121b488719a8
13c43c82906
146b5d03d16
153dd14e932
hex2578f2350

10058933072 has 60 divisors (see below), whose sum is σ = 20683590228. Its totient is φ = 4735411200.

The previous prime is 10058933063. The next prime is 10058933083. The reversal of 10058933072 is 27033985001.

It can be written as a sum of positive squares in 2 ways, for example, as 6122123536 + 3936809536 = 78244^2 + 62744^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 560072 + ... + 577752.

Almost surely, 210058933072 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 10058933072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10341795114).

10058933072 is an abundant number, since it is smaller than the sum of its proper divisors (10624657156).

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

10058933072 is a wasteful number, since it uses less digits than its factorization.

10058933072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17788 (or 17751 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The spelling of 10058933072 in words is "ten billion, fifty-eight million, nine hundred thirty-three thousand, seventy-two".

Divisors: 1 2 4 8 16 31 37 62 74 124 148 248 296 496 592 961 1147 1922 2294 3844 4588 7688 9176 15376 17681 18352 35362 35557 70724 71114 141448 142228 282896 284456 548111 568912 654197 1096222 1308394 2192444 2616788 4384888 5233576 8769776 10467152 16991441 20280107 33982882 40560214 67965764 81120428 135931528 162240856 271863056 324481712 628683317 1257366634 2514733268 5029466536 10058933072