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10075110639 = 31117193130491
BaseRepresentation
bin10010110001000010…
…11111110011101111
3222000011002122112220
421120201133303233
5131113212020024
64343424330423
7504446012256
oct113041376357
928004078486
1010075110639
114300156820
121b52173a13
13c47428239
146b811579d
153de797e79
hex25885fcef

10075110639 has 64 divisors (see below), whose sum is σ = 16860856320. Its totient is φ = 5268672000.

The previous prime is 10075110629. The next prime is 10075110653. The reversal of 10075110639 is 93601157001.

It is a happy number.

It is not a de Polignac number, because 10075110639 - 217 = 10074979567 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10075110629) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 315184 + ... + 345674.

It is an arithmetic number, because the mean of its divisors is an integer number (263450880).

Almost surely, 210075110639 is an apocalyptic number.

10075110639 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

10075110639 is a deficient number, since it is larger than the sum of its proper divisors (6785745681).

10075110639 is a wasteful number, since it uses less digits than its factorization.

10075110639 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30572.

The product of its (nonzero) digits is 5670, while the sum is 33.

The spelling of 10075110639 in words is "ten billion, seventy-five million, one hundred ten thousand, six hundred thirty-nine".

Divisors: 1 3 11 17 19 31 33 51 57 93 187 209 323 341 527 561 589 627 969 1023 1581 1767 3553 5797 6479 10013 10659 17391 19437 30039 30491 91473 110143 330429 335401 518347 579329 945221 1006203 1555041 1737987 2835663 5701817 6372619 9848593 10397431 16068757 17105451 17959199 19117857 29545779 31192293 48206271 53877597 108334523 176756327 197551189 305306383 325003569 530268981 592653567 915919149 3358370213 10075110639