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13006236351640 = 235753876431021
BaseRepresentation
bin1011110101000100000000…
…0110001111110010011000
31201001101100222022000110011
42331101000012033302120
53201043233001223030
643354552115131304
72511445442615530
oct275210006176230
951041328260404
1013006236351640
114164a06392014
1215608422a3b34
137346379c850c
1432d71039a4c0
151784c6e09b2a
hexbd44018fc98

13006236351640 has 64 divisors (see below), whose sum is σ = 34075638135360. Its totient is φ = 4375143651840.

The previous prime is 13006236351617. The next prime is 13006236351697. The reversal of 13006236351640 is 4615363260031.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 13006236351593 and 13006236351602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 438200671 + ... + 438230350.

It is an arithmetic number, because the mean of its divisors is an integer number (532431845865).

Almost surely, 213006236351640 is an apocalyptic number.

13006236351640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13006236351640 is an abundant number, since it is smaller than the sum of its proper divisors (21069401783720).

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

13006236351640 is a wasteful number, since it uses less digits than its factorization.

13006236351640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876431092 (or 876431088 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 40.

The spelling of 13006236351640 in words is "thirteen trillion, six billion, two hundred thirty-six million, three hundred fifty-one thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 53 56 70 106 140 212 265 280 371 424 530 742 1060 1484 1855 2120 2968 3710 7420 14840 876431021 1752862042 3505724084 4382155105 6135017147 7011448168 8764310210 12270034294 17528620420 24540068588 30675085735 35057240840 46450844113 49080137176 61350171470 92901688226 122700342940 185803376452 232254220565 245400685880 325155908791 371606752904 464508441130 650311817582 929016882260 1300623635164 1625779543955 1858033764520 2601247270328 3251559087910 6503118175820 13006236351640