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96478162051656 = 2337113770110131987
BaseRepresentation
bin10101111011111100010010…
…100100111110001001001000
3110122121012222222212211012110
4111323330102210332021020
5100121144233441123111
6541105242240542320
726215213536412560
oct2573742244761110
9418535888784173
1096478162051656
1128817182330210
12a9a21453219a0
1341aab0c0a4868
1419b77d4699da0
15b249421795a6
hex57bf1293e248

96478162051656 has 512 divisors, whose sum is σ = 309740166328320. Its totient is φ = 24310927872000.

The previous prime is 96478162051643. The next prime is 96478162051679. The reversal of 96478162051656 is 65615026187469.

96478162051656 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

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, 48554685495 + ... + 48554687481.

It is an arithmetic number, because the mean of its divisors is an integer number (604961262360).

Almost surely, 296478162051656 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 96478162051656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154870083164160).

96478162051656 is an abundant number, since it is smaller than the sum of its proper divisors (213262004276664).

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

96478162051656 is a wasteful number, since it uses less digits than its factorization.

96478162051656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3765 (or 3761 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 66.

The spelling of 96478162051656 in words is "ninety-six trillion, four hundred seventy-eight billion, one hundred sixty-two million, fifty-one thousand, six hundred fifty-six".