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152696842506 = 232131907342187
BaseRepresentation
bin1000111000110101110…
…0001110100100001010
3112121010201001022022100
42032031130032210022
510000210342430011
6154051543134230
714013653513565
oct2161534164412
9477121038270
10152696842506
115983842890a
1225715a44376
13115261cb960
147567a014dc
153e8a73dd56
hex238d70e90a

152696842506 has 48 divisors (see below), whose sum is σ = 356480508384. Its totient is φ = 46958869152.

The previous prime is 152696842489. The next prime is 152696842511. The reversal of 152696842506 is 605248696251.

152696842506 is a `hidden beast` number, since 1 + 5 + 2 + 6 + 96 + 8 + 42 + 506 = 666.

It is a super-2 number, since 2×1526968425062 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 275145 + ... + 617331.

It is an arithmetic number, because the mean of its divisors is an integer number (7426677258).

Almost surely, 2152696842506 is an apocalyptic number.

152696842506 is an abundant number, since it is smaller than the sum of its proper divisors (203783665878).

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

152696842506 is a wasteful number, since it uses less digits than its factorization.

152696842506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344115 (or 344112 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 152696842506 in words is "one hundred fifty-two billion, six hundred ninety-six million, eight hundred forty-two thousand, five hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 1907 3814 5721 11442 17163 24791 34326 49582 74373 148746 223119 342187 446238 684374 1026561 2053122 3079683 4448431 6159366 8896862 13345293 26690586 40035879 80071758 652550609 1305101218 1957651827 3915303654 5872955481 8483157917 11745910962 16966315834 25449473751 50898947502 76348421253 152696842506