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11601793368 = 23321137938651
BaseRepresentation
bin10101100111000010…
…10101000101011000
31002221112211011112200
422303201111011120
5142230024341433
65155122410200
7560334421314
oct126341250530
932845734480
1011601793368
114a13a01090
1222b9500960
13112b8005b9
147c0ba2b44
1547d813613
hex2b3855158

11601793368 has 96 divisors (see below), whose sum is σ = 34369358400. Its totient is φ = 3506328000.

The previous prime is 11601793309. The next prime is 11601793391. The reversal of 11601793368 is 86339710611.

11601793368 is a `hidden beast` number, since 1 + 1 + 601 + 7 + 9 + 3 + 36 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 280843 + ... + 319493.

It is an arithmetic number, because the mean of its divisors is an integer number (358014150).

Almost surely, 211601793368 is an apocalyptic number.

11601793368 is a gapful number since it is divisible by the number (18) 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 11601793368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17184679200).

11601793368 is an abundant number, since it is smaller than the sum of its proper divisors (22767565032).

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

11601793368 is a wasteful number, since it uses less digits than its factorization.

11601793368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39053 (or 39046 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 11601793368 in words is "eleven billion, six hundred one million, seven hundred ninety-three thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 379 396 758 792 1137 1516 2274 3032 3411 4169 4548 6822 8338 9096 12507 13644 16676 25014 27288 33352 37521 38651 50028 75042 77302 100056 115953 150084 154604 231906 300168 309208 347859 425161 463812 695718 850322 927624 1275483 1391436 1700644 2550966 2782872 3401288 3826449 5101932 7652898 10203864 14648729 15305796 29297458 30611592 43946187 58594916 87892374 117189832 131838561 161136019 175784748 263677122 322272038 351569496 483408057 527354244 644544076 966816114 1054708488 1289088152 1450224171 1933632228 2900448342 3867264456 5800896684 11601793368