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104380780061376 = 263771322336749
BaseRepresentation
bin10111101110111100001011…
…010100010010001011000000
3111200120201001000212120000000
4113232330023110102023000
5102140133314143431001
61005555511323000000
730662156015234040
oct2756741324221300
9450521030776000
10104380780061376
1130293705163845
12b859840069000
1346320b0696760
141bac0b1887720
15c102b4b41a86
hex5eef0b5122c0

104380780061376 has 896 divisors, whose sum is σ = 384061655040000. Its totient is φ = 27404802772992.

The previous prime is 104380780061357. The next prime is 104380780061401. The reversal of 104380780061376 is 673160087083401.

104380780061376 is a `hidden beast` number, since 1 + 0 + 438 + 0 + 7 + 80 + 0 + 61 + 3 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2840352250 + ... + 2840388998.

It is an arithmetic number, because the mean of its divisors is an integer number (428640240000).

Almost surely, 2104380780061376 is an apocalyptic number.

104380780061376 is a gapful number since it is divisible by the number (16) 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 104380780061376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192030827520000).

104380780061376 is an abundant number, since it is smaller than the sum of its proper divisors (279680874978624).

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

104380780061376 is an equidigital number, since it uses as much as digits as its factorization.

104380780061376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37025 (or 36997 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 104380780061376 in words is "one hundred four trillion, three hundred eighty billion, seven hundred eighty million, sixty-one thousand, three hundred seventy-six".