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104663074188456 = 23347192395081231
BaseRepresentation
bin10111110011000011000101…
…010110111010110010101000
3111201120200200121002001020000
4113303003011112322302220
5102204244433443012311
61010333315201503000
731021441355563560
oct2763030526726250
9451520617061200
10104663074188456
11303923a6900713
12b8a44a3941a60
1346528bb1b7684
141bbba11283da0
15c177d7b96056
hex5f30c55baca8

104663074188456 has 320 divisors, whose sum is σ = 354141545472000. Its totient is φ = 28211314158720.

The previous prime is 104663074188443. The next prime is 104663074188469. The reversal of 104663074188456 is 654881470366401.

104663074188456 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 6 + 30 + 74 + 1 + 88 + 456 = 666.

104663074188456 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (104663074188443) and next prime (104663074188469).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 104663074188393 and 104663074188402.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18057361 + ... + 23138591.

It is an arithmetic number, because the mean of its divisors is an integer number (1106692329600).

Almost surely, 2104663074188456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104663074188456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177070772736000).

104663074188456 is an abundant number, since it is smaller than the sum of its proper divisors (249478471283544).

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

104663074188456 is a wasteful number, since it uses less digits than its factorization.

104663074188456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5081514 (or 5081501 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 104663074188456 in words is "one hundred four trillion, six hundred sixty-three billion, seventy-four million, one hundred eighty-eight thousand, four hundred fifty-six".