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152713115505 = 3551961910687
BaseRepresentation
bin1000111000111001101…
…0010011011101110001
3112121011211200001200000
42032032122103131301
510000224024144010
6154053324020213
714014242030666
oct2161632233561
9477154601600
10152713115505
1159846632a75
122571b391669
13115296a8852
147569c39a6d
153e8bda57c0
hex238e693771

152713115505 has 96 divisors (see below), whose sum is σ = 289448140800. Its totient is φ = 77028449472.

The previous prime is 152713115459. The next prime is 152713115509. The reversal of 152713115505 is 505511317251.

152713115505 is a `hidden beast` number, since 1 + 5 + 2 + 7 + 131 + 15 + 505 = 666.

It is not a de Polignac number, because 152713115505 - 26 = 152713115441 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 152713115505.

It is not an unprimeable number, because it can be changed into a prime (152713115509) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14284272 + ... + 14294958.

It is an arithmetic number, because the mean of its divisors is an integer number (3015084800).

Almost surely, 2152713115505 is an apocalyptic number.

152713115505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

152713115505 is a deficient number, since it is larger than the sum of its proper divisors (136735025295).

152713115505 is a wasteful number, since it uses less digits than its factorization.

152713115505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11345 (or 11333 counting only the distinct ones).

The product of its (nonzero) digits is 26250, while the sum is 36.

The spelling of 152713115505 in words is "one hundred fifty-two billion, seven hundred thirteen million, one hundred fifteen thousand, five hundred five".

Divisors: 1 3 5 9 15 19 27 45 57 81 95 135 171 243 285 405 513 619 855 1215 1539 1857 2565 3095 4617 5571 7695 9285 10687 11761 16713 23085 27855 32061 35283 50139 53435 58805 83565 96183 105849 150417 160305 176415 203053 250695 288549 317547 480915 529245 609159 752085 865647 952641 1015265 1442745 1587735 1827477 2596941 2857923 3045795 4328235 4763205 5482431 6615253 9137385 12984705 14289615 16447293 19845759 27412155 33076265 49341879 59537277 82236465 99228795 125689807 178611831 246709395 297686385 377069421 535835493 628449035 893059155 1131208263 1607506479 1885347105 2679177465 3393624789 5656041315 8037532395 10180874367 16968123945 30542623101 50904371835 152713115505