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11621731104 = 253282948677
BaseRepresentation
bin10101101001011010…
…11000101100100000
31002222221100002222100
422310231120230200
5142300130343404
65201114010400
7560666040654
oct126455305440
932887302870
1011621731104
114a24189655
122304116a00
131132991589
147c36b2a64
15480450d39
hex2b4b58b20

11621731104 has 72 divisors (see below), whose sum is σ = 33089844060. Its totient is φ = 3869157888.

The previous prime is 11621731027. The next prime is 11621731109. The reversal of 11621731104 is 40113712611.

11621731104 is a `hidden beast` number, since 1 + 1 + 621 + 7 + 31 + 1 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11573456400 + 48274704 = 107580^2 + 6948^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (11621731109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 214414 + ... + 263090.

Almost surely, 211621731104 is an apocalyptic number.

It is an amenable number.

11621731104 is an abundant number, since it is smaller than the sum of its proper divisors (21468112956).

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

11621731104 is a wasteful number, since it uses less digits than its factorization.

11621731104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49522 (or 49511 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 11621731104 in words is "eleven billion, six hundred twenty-one million, seven hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 829 1658 2487 3316 4974 6632 7461 9948 13264 14922 19896 26528 29844 39792 48677 59688 79584 97354 119376 146031 194708 238752 292062 389416 438093 584124 778832 876186 1168248 1557664 1752372 2336496 3504744 4672992 7009488 14018976 40353233 80706466 121059699 161412932 242119398 322825864 363179097 484238796 645651728 726358194 968477592 1291303456 1452716388 1936955184 2905432776 3873910368 5810865552 11621731104