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96424921152 = 2633710197823
BaseRepresentation
bin101100111001101011…
…1111000100001000000
3100012220000111112001000
41121303113320201000
53034434234434102
6112144052412000
76652333210050
oct1316327704100
9305800445030
1096424921152
113799139948a
1216830617000
139128c46981
14494a31b560
15279544c01c
hex16735f8840

96424921152 has 224 divisors, whose sum is σ = 324326707200. Its totient is φ = 27519422976.

The previous prime is 96424921147. The next prime is 96424921157. The reversal of 96424921152 is 25112942469.

96424921152 is a `hidden beast` number, since 9 + 6 + 4 + 2 + 492 + 1 + 152 = 666.

It is an interprime number because it is at equal distance from previous prime (96424921147) and next prime (96424921157).

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 96424921098 and 96424921107.

It is not an unprimeable number, because it can be changed into a prime (96424921157) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 12321913 + ... + 12329735.

Almost surely, 296424921152 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 96424921152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162163353600).

96424921152 is an abundant number, since it is smaller than the sum of its proper divisors (227901786048).

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

96424921152 is a wasteful number, since it uses less digits than its factorization.

96424921152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8870 (or 8854 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 96424921152 in words is "ninety-six billion, four hundred twenty-four million, nine hundred twenty-one thousand, one hundred fifty-two".