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104044467780 = 22325111910092741
BaseRepresentation
bin110000011100110001…
…0001001011001000100
3100221120001000121000200
41200321202021121010
53201040340432110
6115444122010500
710342214245521
oct1407142113104
9327501017020
10104044467780
1140141431660
12181b8346a30
139a71700446
14507026c148
152a8e3456c0
hex1839889644

104044467780 has 288 divisors, whose sum is σ = 362904796800. Its totient is φ = 23862988800.

The previous prime is 104044467757. The next prime is 104044467803. The reversal of 104044467780 is 87764440401.

It is a happy number.

104044467780 is a `hidden beast` number, since 104 + 0 + 4 + 4 + 467 + 7 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (104044467757) and next prime (104044467803).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 37957210 + ... + 37959950.

It is an arithmetic number, because the mean of its divisors is an integer number (1260086100).

Almost surely, 2104044467780 is an apocalyptic number.

104044467780 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 104044467780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181452398400).

104044467780 is an abundant number, since it is smaller than the sum of its proper divisors (258860329020).

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

104044467780 is a wasteful number, since it uses less digits than its factorization.

104044467780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3795 (or 3790 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 104044467780 in words is "one hundred four billion, forty-four million, four hundred sixty-seven thousand, seven hundred eighty".