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13201265039004 = 22327379138221563
BaseRepresentation
bin1100000000011010100010…
…1101101001011010011100
31201202000202212011212001100
43000012220231221122130
53212242142322222004
644024324420513100
72531521440245640
oct300065055513234
951660685155040
1013201265039004
11422a696a5a479
1215925b0b4b790
13749b490c1483
14338d32126c20
1517d5ddbe2739
hexc01a8b6969c

13201265039004 has 72 divisors (see below), whose sum is σ = 38237613464960. Its totient is φ = 3761838031392.

The previous prime is 13201265038909. The next prime is 13201265039029. The reversal of 13201265039004 is 40093056210231.

13201265039004 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 1 + 265 + 0 + 390 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13201265039004.

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 23 ways as a sum of consecutive naturals, for example, 69015274 + ... + 69206289.

Almost surely, 213201265039004 is an apocalyptic number.

13201265039004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13201265039004 is an abundant number, since it is smaller than the sum of its proper divisors (25036348425956).

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

13201265039004 is a wasteful number, since it uses less digits than its factorization.

13201265039004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138221959 (or 138221954 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 13201265039004 in words is "thirteen trillion, two hundred one billion, two hundred sixty-five million, thirty-nine thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 379 758 1137 1516 2274 2653 3411 4548 5306 6822 7959 10612 13644 15918 23877 31836 47754 95508 138221563 276443126 414664689 552886252 829329378 967550941 1243994067 1658658756 1935101882 2487988134 2902652823 3870203764 4975976268 5805305646 8707958469 11610611292 17415916938 34831833876 52385972377 104771944754 157157917131 209543889508 314315834262 366701806639 471473751393 628631668524 733403613278 942947502786 1100105419917 1466807226556 1885895005572 2200210839834 3300316259751 4400421679668 6600632519502 13201265039004