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96978301056 = 27347132341109
BaseRepresentation
bin101101001010001011…
…0110111000010000000
3100021022120210010120000
41122110112313002000
53042102421113211
6112315021320000
710002132646410
oct1322426670200
9307276703500
1096978301056
11381457a4a4a
1216965a06000
1391b679b6c0
14499da0a640
1527c8d0b656
hex16945b7080

96978301056 has 1280 divisors, whose sum is σ = 383174668800. Its totient is φ = 23648993280.

The previous prime is 96978301037. The next prime is 96978301067. The reversal of 96978301056 is 65010387969.

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

It is a junction number, because it is equal to n+sod(n) for n = 96978300993 and 96978301011.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 889709130 + ... + 889709238.

It is an arithmetic number, because the mean of its divisors is an integer number (299355210).

Almost surely, 296978301056 is an apocalyptic number.

96978301056 is a gapful number since it is divisible by the number (96) 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 96978301056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191587334400).

96978301056 is an abundant number, since it is smaller than the sum of its proper divisors (286196367744).

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

96978301056 is a wasteful number, since it uses less digits than its factorization.

96978301056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 96978301056 in words is "ninety-six billion, nine hundred seventy-eight million, three hundred one thousand, fifty-six".