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104889799872 = 2632111337127271
BaseRepresentation
bin110000110101111101…
…0110101010011000000
3101000201221122220122200
41201223322311103000
53204303242043442
6120104040233200
710402160405544
oct1415372652300
9330657586580
10104889799872
1140535615120
12183b346b800
139b77895b50
145110637a24
152add67434c
hex186beb54c0

104889799872 has 672 divisors, whose sum is σ = 366960082944. Its totient is φ = 28217548800.

The previous prime is 104889799823. The next prime is 104889799897. The reversal of 104889799872 is 278997988401.

104889799872 is a `hidden beast` number, since 1 + 0 + 488 + 9 + 79 + 9 + 8 + 72 = 666.

It is a super-2 number, since 2×1048897998722 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 104889799872.

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, 387047097 + ... + 387047367.

It is an arithmetic number, because the mean of its divisors is an integer number (546071552).

Almost surely, 2104889799872 is an apocalyptic number.

104889799872 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 104889799872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183480041472).

104889799872 is an abundant number, since it is smaller than the sum of its proper divisors (262070283072).

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

104889799872 is a wasteful number, since it uses less digits than its factorization.

104889799872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 72.

The spelling of 104889799872 in words is "one hundred four billion, eight hundred eighty-nine million, seven hundred ninety-nine thousand, eight hundred seventy-two".