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13172178408 = 23317210118803
BaseRepresentation
bin11000100010001111…
…10111110111101000
31020222222202222211120
430101013313313220
5203434034202113
610015021255240
7644263445334
oct142107676750
936888688746
1013172178408
11564a395664
122677404520
13131bc6770c
148cd5887c4
15521612a23
hex3111f7de8

13172178408 has 96 divisors (see below), whose sum is σ = 35329707360. Its totient is φ = 4091315200.

The previous prime is 13172178389. The next prime is 13172178413. The reversal of 13172178408 is 80487127131.

It is a self number, because there is not a number n which added to its sum of digits gives 13172178408.

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, 691135 + ... + 709937.

It is an arithmetic number, because the mean of its divisors is an integer number (368017785).

Almost surely, 213172178408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13172178408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17664853680).

13172178408 is an abundant number, since it is smaller than the sum of its proper divisors (22157528952).

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

13172178408 is a wasteful number, since it uses less digits than its factorization.

13172178408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18947 (or 18926 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 42.

The spelling of 13172178408 in words is "thirteen billion, one hundred seventy-two million, one hundred seventy-eight thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 101 102 136 202 204 289 303 404 408 578 606 808 867 1156 1212 1717 1734 2312 2424 3434 3468 5151 6868 6936 10302 13736 18803 20604 29189 37606 41208 56409 58378 75212 87567 112818 116756 150424 175134 225636 233512 319651 350268 451272 639302 700536 958953 1278604 1899103 1917906 2557208 3798206 3835812 5434067 5697309 7596412 7671624 10868134 11394618 15192824 16302201 21736268 22789236 32284751 32604402 43472536 45578472 64569502 65208804 96854253 129139004 130417608 193708506 258278008 387417012 548840767 774834024 1097681534 1646522301 2195363068 3293044602 4390726136 6586089204 13172178408