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104738155704 = 233371331171889
BaseRepresentation
bin110000110001011100…
…0010110110010111000
3101000100101022120222000
41201202320112302320
53204000431440304
6120041022101000
710365336430350
oct1414270266270
9330311276860
10104738155704
1140467a5a666
121837071a760
139b5233c780
1450d8441b60
152ad01bc939
hex1862e16cb8

104738155704 has 256 divisors, whose sum is σ = 369632256000. Its totient is φ = 26732021760.

The previous prime is 104738155703. The next prime is 104738155721. The reversal of 104738155704 is 407551837401.

104738155704 is a `hidden beast` number, since 1 + 0 + 4 + 73 + 8 + 1 + 5 + 570 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 104738155704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104738155703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 523392 + ... + 695280.

It is an arithmetic number, because the mean of its divisors is an integer number (1443876000).

Almost surely, 2104738155704 is an apocalyptic number.

104738155704 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 104738155704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184816128000).

104738155704 is an abundant number, since it is smaller than the sum of its proper divisors (264894100296).

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

104738155704 is a wasteful number, since it uses less digits than its factorization.

104738155704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171955 (or 171945 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 104738155704 in words is "one hundred four billion, seven hundred thirty-eight million, one hundred fifty-five thousand, seven hundred four".