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152092838106 = 23311679337693
BaseRepresentation
bin1000110110100101110…
…0001000100011011010
3112112120121111201001000
42031221130020203122
54442441231304411
6153512005205430
713663000536036
oct2155134104332
9475517451030
10152092838106
1159558495420
1225587700876
131145b0304c1
14750b6d51c6
153e526ce956
hex23697088da

152092838106 has 64 divisors (see below), whose sum is σ = 368773971840. Its totient is φ = 46080731520.

The previous prime is 152092838101. The next prime is 152092838119. The reversal of 152092838106 is 601838290251.

152092838106 is a `hidden beast` number, since 1 + 520 + 92 + 8 + 38 + 1 + 0 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (152092838101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4016196 + ... + 4053888.

It is an arithmetic number, because the mean of its divisors is an integer number (5762093310).

Almost surely, 2152092838106 is an apocalyptic number.

152092838106 is an abundant number, since it is smaller than the sum of its proper divisors (216681133734).

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

152092838106 is a wasteful number, since it uses less digits than its factorization.

152092838106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44508 (or 44502 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 152092838106 in words is "one hundred fifty-two billion, ninety-two million, eight hundred thirty-eight thousand, one hundred six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 6793 13586 20379 37693 40758 61137 74723 75386 113079 122274 149446 183411 224169 226158 339237 366822 414623 448338 672507 678474 829246 1017711 1243869 1345014 2017521 2035422 2487738 3731607 4035042 7463214 11194821 22389642 256048549 512097098 768145647 1536291294 2304436941 2816534039 4608873882 5633068078 6913310823 8449602117 13826621646 16899204234 25348806351 50697612702 76046419053 152092838106