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29890628172 = 22323126783717
BaseRepresentation
bin11011110101100111…
…101100101001001100
32212011010111020102200
4123311213230221030
5442204000100142
621422003521500
72105501101356
oct336547545114
985133436380
1029890628172
1111749531399
125962389290
132a8481c942
141637ad80d6
15b9e22264c
hex6f59eca4c

29890628172 has 36 divisors (see below), whose sum is σ = 77994186816. Its totient is φ = 9642137760.

The previous prime is 29890628171. The next prime is 29890628177. The reversal of 29890628172 is 27182609892.

29890628172 is a `hidden beast` number, since 2 + 9 + 8 + 9 + 0 + 628 + 1 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×298906281723 (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (29890628171) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13390743 + ... + 13392974.

Almost surely, 229890628172 is an apocalyptic number.

It is an amenable number.

29890628172 is an abundant number, since it is smaller than the sum of its proper divisors (48103558644).

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

29890628172 is a wasteful number, since it uses less digits than its factorization.

29890628172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26783758 (or 26783753 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 29890628172 in words is "twenty-nine billion, eight hundred ninety million, six hundred twenty-eight thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 26783717 53567434 80351151 107134868 160702302 241053453 321404604 482106906 830295227 964213812 1660590454 2490885681 3321180908 4981771362 7472657043 9963542724 14945314086 29890628172