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9106247040 = 2735112192063
BaseRepresentation
bin10000111101100011…
…00100110110000000
3212111122000021112220
420132301210312000
5122122144401130
64103334251040
7441442552122
oct103661446600
925448007486
109106247040
11395326a200
1219217b6a80
13b217a0377
14625591212
153846b7410
hex21ec64d80

9106247040 has 384 divisors, whose sum is σ = 33600268800. Its totient is φ = 2090373120.

The previous prime is 9106247027. The next prime is 9106247053. The reversal of 9106247040 is 407426019.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9106247027) and next prime (9106247053).

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 9106246992 and 9106247010.

It is a congruent number.

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, 4413049 + ... + 4415111.

It is an arithmetic number, because the mean of its divisors is an integer number (87500700).

Almost surely, 29106247040 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 9106247040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16800134400).

9106247040 is an abundant number, since it is smaller than the sum of its proper divisors (24494021760).

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

9106247040 is a wasteful number, since it uses less digits than its factorization.

9106247040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2126 (or 2103 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 9106247040 is about 95426.6579106698. The cubic root of 9106247040 is about 2088.2371099326.

The spelling of 9106247040 in words is "nine billion, one hundred six million, two hundred forty-seven thousand, forty".