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96425567280 = 243257217915269
BaseRepresentation
bin101100111001101101…
…0010110010000110000
3100012220001201100100200
41121303122112100300
53034434421123110
6112144114315200
76652341540600
oct1316332262060
9305801640320
1096425567280
113799179a979
1216830888b00
139129111ab3
14494a448c00
1527955286c0
hex1673696430

96425567280 has 360 divisors, whose sum is σ = 378828543600. Its totient is φ = 21915565056.

The previous prime is 96425567267. The next prime is 96425567299. The reversal of 96425567280 is 8276552469.

96425567280 is a `hidden beast` number, since 9 + 6 + 4 + 2 + 556 + 7 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6307486 + ... + 6322754.

It is an arithmetic number, because the mean of its divisors is an integer number (1052301510).

Almost surely, 296425567280 is an apocalyptic number.

96425567280 is a gapful number since it is divisible by the number (90) 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 96425567280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189414271800).

96425567280 is an abundant number, since it is smaller than the sum of its proper divisors (282402976320).

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

96425567280 is a wasteful number, since it uses less digits than its factorization.

96425567280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15481 (or 15465 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 96425567280 in words is "ninety-six billion, four hundred twenty-five million, five hundred sixty-seven thousand, two hundred eighty".