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104891258880 = 211335735197
BaseRepresentation
bin110000110110000000…
…0011001100000000000
3101000202001102001001000
41201230000121200000
53204304130241010
6120104131412000
710402205663322
oct1415400314000
9330661361030
10104891258880
1140536421311
12183b3a54000
139b77c86c75
1451108d7612
152add8617c0
hex186c019800

104891258880 has 384 divisors, whose sum is σ = 378035985600. Its totient is φ = 27582529536.

The previous prime is 104891258861. The next prime is 104891258903. The reversal of 104891258880 is 88852198401.

104891258880 is a `hidden beast` number, since 1 + 0 + 48 + 9 + 12 + 588 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1048912588802 (a number of 23 digits) contains 22 as substring.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20180442 + ... + 20185638.

Almost surely, 2104891258880 is an apocalyptic number.

104891258880 is a gapful number since it is divisible by the number (10) 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 104891258880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189017992800).

104891258880 is an abundant number, since it is smaller than the sum of its proper divisors (273144726720).

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

104891258880 is an equidigital number, since it uses as much as digits as its factorization.

104891258880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5306 (or 5280 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 54.

The spelling of 104891258880 in words is "one hundred four billion, eight hundred ninety-one million, two hundred fifty-eight thousand, eight hundred eighty".