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133188833808 = 2432924922457
BaseRepresentation
bin111110000001010101…
…1000101001000010000
3110201210011021210020200
41330002223011020100
54140232320140213
6141104110535200
712423354256632
oct1740253051020
9421704253220
10133188833808
1151537696178
1221990807500
13c737733a44
146636bc8a52
1536e7ca8273
hex1f02ac5210

133188833808 has 30 divisors (see below), whose sum is σ = 372743750574. Its totient is φ = 44396277888.

The previous prime is 133188833773. The next prime is 133188833831. The reversal of 133188833808 is 808338881331.

133188833808 is a `hidden beast` number, since 1 + 3 + 3 + 188 + 83 + 380 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 78875599104 + 54313234704 = 280848^2 + 233052^2 .

It is a super-2 number, since 2×1331888338082 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 462461085 + ... + 462461372.

Almost surely, 2133188833808 is an apocalyptic number.

133188833808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

133188833808 is an abundant number, since it is smaller than the sum of its proper divisors (239554916766).

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

133188833808 is a wasteful number, since it uses less digits than its factorization.

133188833808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924922471 (or 924922462 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 133188833808 in words is "one hundred thirty-three billion, one hundred eighty-eight million, eight hundred thirty-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 924922457 1849844914 2774767371 3699689828 5549534742 7399379656 8324302113 11099069484 14798759312 16648604226 22198138968 33297208452 44396277936 66594416904 133188833808