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133045763928 = 233721123792467
BaseRepresentation
bin111101111101000100…
…1010011111101011000
3110201102012002002021020
41323322021103331120
54134434203421203
6141042000242440
712416666222400
oct1737211237530
9421365062236
10133045763928
1151473957700
1221950910420
13c713bc02cc
146621bc5800
1536da447153
hex1efa253f58

133045763928 has 288 divisors, whose sum is σ = 426585902400. Its totient is φ = 34452190080.

The previous prime is 133045763911. The next prime is 133045763999. The reversal of 133045763928 is 829367540331.

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, 53928951 + ... + 53931417.

It is an arithmetic number, because the mean of its divisors is an integer number (1481201050).

It is a 1-persistent number, because it is pandigital, but 2⋅133045763928 = 266091527856 is not.

Almost surely, 2133045763928 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 133045763928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213292951200).

133045763928 is an abundant number, since it is smaller than the sum of its proper divisors (293540138472).

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

133045763928 is a wasteful number, since it uses less digits than its factorization.

133045763928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2891 (or 2869 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The spelling of 133045763928 in words is "one hundred thirty-three billion, forty-five million, seven hundred sixty-three thousand, nine hundred twenty-eight".