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104839680000 = 212354111773
BaseRepresentation
bin110000110100011101…
…1101001000000000000
3101000121110100120010010
41201220323221000000
53204202424230000
6120055050104520
710401011401506
oct1415073510000
9330543316103
10104839680000
114050a2a2340
121839a71b140
139b6a398013
145107b0c676
152ad9073d50
hex1868ee9000

104839680000 has 1040 divisors, whose sum is σ = 409009525056. Its totient is φ = 23592960000.

The previous prime is 104839679977. The next prime is 104839680007. The reversal of 104839680000 is 86938401.

It is not an unprimeable number, because it can be changed into a prime (104839680007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1436159964 + ... + 1436160036.

Almost surely, 2104839680000 is an apocalyptic number.

104839680000 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 104839680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204504762528).

104839680000 is an abundant number, since it is smaller than the sum of its proper divisors (304169845056).

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

104839680000 is an equidigital number, since it uses as much as digits as its factorization.

104839680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 104839680000 in words is "one hundred four billion, eight hundred thirty-nine million, six hundred eighty thousand".