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9485392896 = 21034717312
BaseRepresentation
bin10001101010101111…
…11001110000000000
3220111001102212220000
420311113321300000
5123411230033041
64205120520000
7454025336460
oct106527716000
926431385800
109485392896
114028291091
121a08780000
13b821bc825
1465da87ba0
153a7b0bbb6
hex2355f9c00

9485392896 has 660 divisors, whose sum is σ = 35417259504. Its totient is φ = 2468413440.

The previous prime is 9485392883. The next prime is 9485392907. The reversal of 9485392896 is 6982935849.

9485392896 is a `hidden beast` number, since 9 + 4 + 8 + 539 + 2 + 8 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (33592320) is a multiple of the sum of its prime divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 305980401 + ... + 305980431.

Almost surely, 29485392896 is an apocalyptic number.

9485392896 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 9485392896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17708629752).

9485392896 is an abundant number, since it is smaller than the sum of its proper divisors (25931866608).

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

9485392896 is a wasteful number, since it uses less digits than its factorization.

9485392896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 60 counting only the distinct ones).

The product of its digits is 33592320, while the sum is 63.

The square root of 9485392896 is about 97392.9817594677. The cubic root of 9485392896 is about 2116.8257420474.

The spelling of 9485392896 in words is "nine billion, four hundred eighty-five million, three hundred ninety-two thousand, eight hundred ninety-six".