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13140652564 = 22133713749853
BaseRepresentation
bin11000011110011111…
…00111001000010100
31020220210110022111201
430033033213020110
5203403001340224
610011533442244
7643431463264
oct141717471024
936823408451
1013140652564
115633612846
122668940384
13131557a080
148c92dd7a4
1551d986a44
hex30f3e7214

13140652564 has 48 divisors (see below), whose sum is σ = 25620568848. Its totient is φ = 5857809408.

The previous prime is 13140652541. The next prime is 13140652621. The reversal of 13140652564 is 46525604131.

13140652564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 156050064 + 12984602500 = 12492^2 + 113950^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 238662 + ... + 288514.

It is an arithmetic number, because the mean of its divisors is an integer number (533761851).

Almost surely, 213140652564 is an apocalyptic number.

It is an amenable number.

13140652564 is a deficient number, since it is larger than the sum of its proper divisors (12479916284).

13140652564 is a wasteful number, since it uses less digits than its factorization.

13140652564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50044 (or 50042 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The spelling of 13140652564 in words is "thirteen billion, one hundred forty million, six hundred fifty-two thousand, five hundred sixty-four".

Divisors: 1 2 4 13 26 37 52 74 137 148 274 481 548 962 1781 1924 3562 5069 7124 10138 20276 49853 65897 99706 131794 199412 263588 648089 1296178 1844561 2592356 3689122 6829861 7378244 13659722 23979293 27319444 47958586 88788193 95917172 177576386 252704857 355152772 505409714 1010819428 3285163141 6570326282 13140652564