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104748982272 = 2133411113127
BaseRepresentation
bin110000110001110000…
…1101010000000000000
3101000101010200122020000
41201203201222000000
53204011214413042
6120042050120000
710365530441604
oct1414341520000
9330333618200
10104748982272
1140473084840
1218374280000
139b5466061c
1450d9a5d504
152ad110a74c
hex186386a000

104748982272 has 560 divisors, whose sum is σ = 347116188672. Its totient is φ = 31213486080.

The previous prime is 104748982267. The next prime is 104748982301. The reversal of 104748982272 is 272289847401.

104748982272 is a `hidden beast` number, since 1 + 0 + 474 + 89 + 8 + 22 + 72 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 824795073 + ... + 824795199.

Almost surely, 2104748982272 is an apocalyptic number.

104748982272 is a gapful number since it is divisible by the number (12) 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 104748982272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173558094336).

104748982272 is an abundant number, since it is smaller than the sum of its proper divisors (242367206400).

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

104748982272 is a wasteful number, since it uses less digits than its factorization.

104748982272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 104748982272 in words is "one hundred four billion, seven hundred forty-eight million, nine hundred eighty-two thousand, two hundred seventy-two".