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104790620160 = 211355231831
BaseRepresentation
bin110000110011000000…
…0011111100000000000
3101000111001001001200000
41201212000133200000
53204102344321120
6120050134400000
710366544401062
oct1414600374000
9330431031600
10104790620160
1140494633a16
1218386200000
139b6017b825
1451013bb732
152ad4ad2990
hex186601f800

104790620160 has 576 divisors, whose sum is σ = 393226928640. Its totient is φ = 26714603520.

The previous prime is 104790620147. The next prime is 104790620177. The reversal of 104790620160 is 61026097401.

104790620160 is a `hidden beast` number, since 1 + 0 + 479 + 0 + 6 + 20 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57230445 + ... + 57232275.

It is an arithmetic number, because the mean of its divisors is an integer number (682685640).

Almost surely, 2104790620160 is an apocalyptic number.

104790620160 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 104790620160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196613464320).

104790620160 is an abundant number, since it is smaller than the sum of its proper divisors (288436308480).

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

104790620160 is an equidigital number, since it uses as much as digits as its factorization.

104790620160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1896 (or 1864 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 104790620160 in words is "one hundred four billion, seven hundred ninety million, six hundred twenty thousand, one hundred sixty".