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133045612920 = 2332511219160753
BaseRepresentation
bin111101111101000100…
…0101111000101111000
3110201102011210102010100
41323322020233011320
54134434134103140
6141041553115400
712416665023213
oct1737210570570
9421364712110
10133045612920
1151473864200
1221950858b60
13c713b6965c
146621b8677a
1536da417530
hex1efa22f178

133045612920 has 288 divisors, whose sum is σ = 500298598800. Its totient is φ = 30555740160.

The previous prime is 133045612919. The next prime is 133045612961. The reversal of 133045612920 is 29216540331.

133045612920 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 4 + 561 + 2 + 92 + 0 = 666.

It is a super-2 number, since 2×1330456129202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 747264 + ... + 908016.

Almost surely, 2133045612920 is an apocalyptic number.

133045612920 is a gapful number since it is divisible by the number (10) 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 133045612920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250149299400).

133045612920 is an abundant number, since it is smaller than the sum of its proper divisors (367252985880).

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

133045612920 is a wasteful number, since it uses less digits than its factorization.

133045612920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160811 (or 160793 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 133045612920 in words is "one hundred thirty-three billion, forty-five million, six hundred twelve thousand, nine hundred twenty".