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133663816 = 231113313769
BaseRepresentation
bin1111111011110…
…00110001001000
3100022111211021201
413331320301020
5233204220231
621132513544
73212060266
oct775706110
9308454251
10133663816
11694a4670
123891b8b4
13218cc320
1413a75436
15bb04161
hex7f78c48

133663816 has 64 divisors (see below), whose sum is σ = 304012800. Its totient is φ = 54259200.

The previous prime is 133663807. The next prime is 133663837. The reversal of 133663816 is 618366331.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

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, 33580 + ... + 37348.

It is an arithmetic number, because the mean of its divisors is an integer number (4750200).

Almost surely, 2133663816 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 133663816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152006400).

133663816 is an abundant number, since it is smaller than the sum of its proper divisors (170348984).

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

133663816 is a wasteful number, since it uses less digits than its factorization.

133663816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3830 (or 3826 counting only the distinct ones).

The product of its digits is 46656, while the sum is 37.

The square root of 133663816 is about 11561.3068465464. The cubic root of 133663816 is about 511.2946933188.

The spelling of 133663816 in words is "one hundred thirty-three million, six hundred sixty-three thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 13 22 26 31 44 52 62 88 104 124 143 248 286 341 403 572 682 806 1144 1364 1612 2728 3224 3769 4433 7538 8866 15076 17732 30152 35464 41459 48997 82918 97994 116839 165836 195988 233678 331672 391976 467356 538967 934712 1077934 1285229 1518907 2155868 2570458 3037814 4311736 5140916 6075628 10281832 12151256 16707977 33415954 66831908 133663816