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13501194368 = 271713745289
BaseRepresentation
bin11001001001011101…
…11110000010000000
31021211220212201212212
430210232332002000
5210122301204433
610111413241252
7655400154464
oct144456760200
937756781785
1013501194368
1157a9088182
122749633228
13137218460c
149211524a4
15540453d48
hex324bbe080

13501194368 has 64 divisors (see below), whose sum is σ = 28687591800. Its totient is φ = 6306988032.

The previous prime is 13501194347. The next prime is 13501194379. The reversal of 13501194368 is 86349110531.

It can be written as a sum of positive squares in 4 ways, for example, as 13495004224 + 6190144 = 116168^2 + 2488^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 275468 + ... + 320756.

Almost surely, 213501194368 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 13501194368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14343795900).

13501194368 is an abundant number, since it is smaller than the sum of its proper divisors (15186397432).

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

13501194368 is a wasteful number, since it uses less digits than its factorization.

13501194368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45457 (or 45445 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The spelling of 13501194368 in words is "thirteen billion, five hundred one million, one hundred ninety-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 137 272 274 544 548 1088 1096 2176 2192 2329 4384 4658 8768 9316 17536 18632 37264 45289 74528 90578 149056 181156 298112 362312 724624 769913 1449248 1539826 2898496 3079652 5796992 6159304 6204593 12318608 12409186 24637216 24818372 49274432 49636744 98548864 99273488 105478081 198546976 210956162 397093952 421912324 794187904 843824648 1687649296 3375298592 6750597184 13501194368