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104295128284320 = 2535217281517259
BaseRepresentation
bin10111101101101100011010…
…000100101011110010100000
3111200021111221210221110101220
4113231230122010223302200
5102132232410320044240
61005452304232055040
730653034335160231
oct2755543204536240
9450244853843356
10104295128284320
1130260351a47a36
12b845117534480
134626cb067927c
141ba7ca8267088
15c0ce503c25d0
hex5edb1a12bca0

104295128284320 has 48 divisors (see below), whose sum is σ = 328529654097120. Its totient is φ = 27812034209024.

The previous prime is 104295128284307. The next prime is 104295128284327. The reversal of 104295128284320 is 23482821592401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (104295128284327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108640758150 + ... + 108640759109.

It is an arithmetic number, because the mean of its divisors is an integer number (6844367793690).

Almost surely, 2104295128284320 is an apocalyptic number.

104295128284320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104295128284320 is an abundant number, since it is smaller than the sum of its proper divisors (224234525812800).

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

104295128284320 is a wasteful number, since it uses less digits than its factorization.

104295128284320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217281517277 (or 217281517269 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 104295128284320 in words is "one hundred four trillion, two hundred ninety-five billion, one hundred twenty-eight million, two hundred eighty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 217281517259 434563034518 651844551777 869126069036 1086407586295 1303689103554 1738252138072 2172815172590 2607378207108 3259222758885 3476504276144 4345630345180 5214756414216 6518445517770 6953008552288 8691260690360 10429512828432 13036891035540 17382521380720 20859025656864 26073782071080 34765042761440 52147564142160 104295128284320