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133379974080 = 2633517986243
BaseRepresentation
bin111110000111000010…
…0001110001111000000
3110202021110221201102000
41330032010032033000
54141130233132310
6141135055424000
712431165034123
oct1741604161700
9422243851360
10133379974080
1151625577741
1221a24825000
13c7682084b2
1466543423ba
1537099624c0
hex1f0e10e3c0

133379974080 has 224 divisors, whose sum is σ = 473169081600. Its totient is φ = 35368879104.

The previous prime is 133379974073. The next prime is 133379974099. The reversal of 133379974080 is 80479973331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1503439 + ... + 1589681.

Almost surely, 2133379974080 is an apocalyptic number.

133379974080 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 133379974080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236584540800).

133379974080 is an abundant number, since it is smaller than the sum of its proper divisors (339789107520).

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

133379974080 is a wasteful number, since it uses less digits than its factorization.

133379974080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86448 (or 86432 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 133379974080 in words is "one hundred thirty-three billion, three hundred seventy-nine million, nine hundred seventy-four thousand, eighty".