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11358812916 = 22321129989099
BaseRepresentation
bin10101001010000100…
…11011101011110100
31002022121121111000200
422211002123223310
5141230324003131
65115042440500
7551324213433
oct124502335364
932277544020
1011358812916
1148a98322a0
122250063130
1310c0377c99
1479a7d311a
154673192e6
hex2a509baf4

11358812916 has 72 divisors (see below), whose sum is σ = 32402916000. Its totient is φ = 3323369280.

The previous prime is 11358812903. The next prime is 11358812957. The reversal of 11358812916 is 61921885311.

11358812916 is a `hidden beast` number, since 1 + 1 + 358 + 8 + 1 + 291 + 6 = 666.

11358812916 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 483066 + ... + 506033.

It is an arithmetic number, because the mean of its divisors is an integer number (450040500).

Almost surely, 211358812916 is an apocalyptic number.

It is an amenable number.

11358812916 is an abundant number, since it is smaller than the sum of its proper divisors (21044103084).

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

11358812916 is a wasteful number, since it uses less digits than its factorization.

11358812916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989149 (or 989144 counting only the distinct ones).

The product of its digits is 103680, while the sum is 45.

The spelling of 11358812916 in words is "eleven billion, three hundred fifty-eight million, eight hundred twelve thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 132 174 198 261 319 348 396 522 638 957 1044 1276 1914 2871 3828 5742 11484 989099 1978198 2967297 3956396 5934594 8901891 10880089 11869188 17803782 21760178 28683871 32640267 35607564 43520356 57367742 65280534 86051613 97920801 114735484 130561068 172103226 195841602 258154839 315522581 344206452 391683204 516309678 631045162 946567743 1032619356 1262090324 1893135486 2839703229 3786270972 5679406458 11358812916