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104254357461408 = 253272112329200153
BaseRepresentation
bin10111101101000110011011…
…111100010101100110100000
3111200010121201102110001122200
4113231012123330111212200
5102131100411002231113
61005421442435533200
730650062110663300
oct2755063374254640
9450117642401580
10104254357461408
113024502a977270
12b83923945a200
1346231b39bb39b
141ba5d1b567600
15c0bd65dc8873
hex5ed19bf159a0

104254357461408 has 432 divisors, whose sum is σ = 392587427284416. Its totient is φ = 25901702830080.

The previous prime is 104254357461391. The next prime is 104254357461461. The reversal of 104254357461408 is 804164753452401.

104254357461408 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 5 + 4 + 3 + 574 + 61 + 4 + 0 + 8 = 666.

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, 11029741 + ... + 18170412.

It is an arithmetic number, because the mean of its divisors is an integer number (908767192788).

Almost surely, 2104254357461408 is an apocalyptic number.

104254357461408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

104254357461408 is an abundant number, since it is smaller than the sum of its proper divisors (288333069823008).

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

104254357461408 is a wasteful number, since it uses less digits than its factorization.

104254357461408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29200217 (or 29200199 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 104254357461408 in words is "one hundred four trillion, two hundred fifty-four billion, three hundred fifty-seven million, four hundred sixty-one thousand, four hundred eight".