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738748490145120 = 253357213268456193
BaseRepresentation
bin1010011111111000110100100…
…1010101010101110101100000
310120212200122222110112212012000
42213332031021111111311200
51233312123401434120440
611135104212104004000
7311414550156316200
oct24776151125256540
93525618873485160
10738748490145120
111a442a52560a7a4
126aa324a6760600
13259298b712cb50
14d05d890d94400
155a618247d4730
hex29fe349555d60

738748490145120 has 576 divisors, whose sum is σ = 3239128007317440. Its totient is φ = 155867812724736.

The previous prime is 738748490145119. The next prime is 738748490145131. The reversal of 738748490145120 is 21541094847837.

738748490145120 is a `hidden beast` number, since 7 + 3 + 8 + 7 + 4 + 8 + 490 + 14 + 5 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 131476257 + ... + 136979936.

It is an arithmetic number, because the mean of its divisors is an integer number (5623486123815).

Almost surely, 2738748490145120 is an apocalyptic number.

738748490145120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

738748490145120 is an abundant number, since it is smaller than the sum of its proper divisors (2500379517172320).

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

738748490145120 is a wasteful number, since it uses less digits than its factorization.

738748490145120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268456244 (or 268456223 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 738748490145120 in words is "seven hundred thirty-eight trillion, seven hundred forty-eight billion, four hundred ninety million, one hundred forty-five thousand, one hundred twenty".