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104299707456 = 26337431931039
BaseRepresentation
bin110000100100010111…
…1110011110001000000
3100222012211022010001000
41201020233303301000
53202101211114311
6115525320412000
710351433612520
oct1411057636100
9328184263030
10104299707456
1140262513a3a
1218269917000
139ab2558a39
14509610d680
152aa6962056
hex1848bf3c40

104299707456 has 448 divisors, whose sum is σ = 360779161600. Its totient is φ = 28928212992.

The previous prime is 104299707439. The next prime is 104299707461. The reversal of 104299707456 is 654707992401.

104299707456 is a `hidden beast` number, since 10 + 429 + 97 + 0 + 74 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100384185 + ... + 100385223.

Almost surely, 2104299707456 is an apocalyptic number.

104299707456 is a gapful number since it is divisible by the number (16) 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 104299707456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180389580800).

104299707456 is an abundant number, since it is smaller than the sum of its proper divisors (256479454144).

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

104299707456 is a wasteful number, since it uses less digits than its factorization.

104299707456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 104299707456 in words is "one hundred four billion, two hundred ninety-nine million, seven hundred seven thousand, four hundred fifty-six".