Search a number
-
+
96220868256 = 253219312292477
BaseRepresentation
bin101100110011100110…
…1011110111010100000
3100012100210112120002100
41121213031132322200
53034030020241011
6112111523050400
76644304612462
oct1314715367240
9305323476070
1096220868256
1137897198527
1216794210a00
1390c58a0a06
14492b1a2132
152782591d56
hex166735eea0

96220868256 has 288 divisors, whose sum is σ = 298739750400. Its totient is φ = 29265131520.

The previous prime is 96220868221. The next prime is 96220868291. The reversal of 96220868256 is 65286802269.

96220868256 is a `hidden beast` number, since 9 + 622 + 0 + 8 + 6 + 8 + 2 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (96220868221) and next prime (96220868291).

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38844490 + ... + 38846966.

It is an arithmetic number, because the mean of its divisors is an integer number (1037290800).

Almost surely, 296220868256 is an apocalyptic number.

96220868256 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 96220868256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149369875200).

96220868256 is an abundant number, since it is smaller than the sum of its proper divisors (202518882144).

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

96220868256 is a wasteful number, since it uses less digits than its factorization.

96220868256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2772 (or 2761 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 96220868256 in words is "ninety-six billion, two hundred twenty million, eight hundred sixty-eight thousand, two hundred fifty-six".