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152075772513 = 3471914116381
BaseRepresentation
bin1000110110100001101…
…1000010001001100001
3112112112102101200110000
42031220123002021201
54442422344210023
6153510155330213
713662402511110
oct2155033021141
9475472350400
10152075772513
1159549899825
1225581a50969
1311457636912
147509331c77
153e50e5d243
hex23686c2261

152075772513 has 40 divisors (see below), whose sum is σ = 273293155520. Its totient is φ = 82326728160.

The previous prime is 152075772479. The next prime is 152075772521. The reversal of 152075772513 is 315277570251.

152075772513 is a `hidden beast` number, since 1 + 5 + 20 + 7 + 577 + 2 + 51 + 3 = 666.

It is not a de Polignac number, because 152075772513 - 229 = 151538901601 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (152075772593) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7047418 + ... + 7068963.

It is an arithmetic number, because the mean of its divisors is an integer number (6832328888).

Almost surely, 2152075772513 is an apocalyptic number.

It is an amenable number.

152075772513 is a deficient number, since it is larger than the sum of its proper divisors (121217383007).

152075772513 is a wasteful number, since it uses less digits than its factorization.

152075772513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14116419 (or 14116410 counting only the distinct ones).

The product of its (nonzero) digits is 514500, while the sum is 45.

The spelling of 152075772513 in words is "one hundred fifty-two billion, seventy-five million, seven hundred seventy-two thousand, five hundred thirteen".

Divisors: 1 3 7 9 19 21 27 57 63 81 133 171 189 399 513 567 1197 1539 3591 10773 14116381 42349143 98814667 127047429 268211239 296444001 381142287 804633717 889332003 1143426861 1877478673 2413901151 2667996009 5632436019 7241703453 8003988027 16897308057 21725110359 50691924171 152075772513