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133280703864 = 2332711314791619
BaseRepresentation
bin111110000100000100…
…1100010010101111000
3110202000120011021021100
41330020021202111320
54140424330010424
6141121152011400
712425551201440
oct1741011422570
9422016137240
10133280703864
1151584534540
12219b7530b60
13c75078bc19
1466450a1120
153700da3dc9
hex1f08262578

133280703864 has 384 divisors, whose sum is σ = 465813504000. Its totient is φ = 33411052800.

The previous prime is 133280703839. The next prime is 133280703869. The reversal of 133280703864 is 468307082331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133280703869) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82322047 + ... + 82323665.

It is an arithmetic number, because the mean of its divisors is an integer number (1213056000).

Almost surely, 2133280703864 is an apocalyptic number.

133280703864 is a gapful number since it is divisible by the number (14) 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 133280703864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232906752000).

133280703864 is an abundant number, since it is smaller than the sum of its proper divisors (332532800136).

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

133280703864 is a wasteful number, since it uses less digits than its factorization.

133280703864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2159 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 133280703864 in words is "one hundred thirty-three billion, two hundred eighty million, seven hundred three thousand, eight hundred sixty-four".