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13213608192 = 28332383117
BaseRepresentation
bin11000100111001011…
…11010100100000000
31021002212201211211000
430103211322210000
5204030140430232
610023101252000
7645305550021
oct142345724400
937085654730
1013213608192
115670812454
122689264000
131327711c95
148d4c90c48
1552509827c
hex31397a900

13213608192 has 144 divisors (see below), whose sum is σ = 40774366080. Its totient is φ = 4212983808.

The previous prime is 13213608181. The next prime is 13213608209. The reversal of 13213608192 is 29180631231.

13213608192 is a `hidden beast` number, since 1 + 32 + 1 + 3 + 608 + 19 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117418 + ... + 200534.

It is an arithmetic number, because the mean of its divisors is an integer number (283155320).

Almost surely, 213213608192 is an apocalyptic number.

13213608192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13213608192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20387183040).

13213608192 is an abundant number, since it is smaller than the sum of its proper divisors (27560757888).

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

13213608192 is an equidigital number, since it uses as much as digits as its factorization.

13213608192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83165 (or 83145 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 13213608192 in words is "thirteen billion, two hundred thirteen million, six hundred eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 128 138 144 184 192 207 216 256 276 288 368 384 414 432 552 576 621 736 768 828 864 1104 1152 1242 1472 1656 1728 2208 2304 2484 2944 3312 3456 4416 4968 5888 6624 6912 8832 9936 13248 17664 19872 26496 39744 52992 79488 83117 158976 166234 249351 332468 498702 664936 748053 997404 1329872 1496106 1911691 1994808 2244159 2659744 2992212 3823382 3989616 4488318 5319488 5735073 5984424 7646764 7979232 8976636 10638976 11470146 11968848 15293528 15958464 17205219 17953272 21277952 22940292 23937696 30587056 31916928 34410438 35906544 45880584 47875392 51615657 61174112 63833856 68820876 71813088 91761168 95750784 103231314 122348224 137641752 143626176 183522336 191501568 206462628 244696448 275283504 287252352 367044672 412925256 489392896 550567008 574504704 734089344 825850512 1101134016 1468178688 1651701024 2202268032 3303402048 4404536064 6606804096 13213608192