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9425493504 = 29337257379
BaseRepresentation
bin10001100011100110…
…11001111000000000
3220022212201200101000
420301303121320000
5123300411243004
64155141012000
7452400241620
oct106163317000
926285650330
109425493504
113aa7499859
1219b06b4000
13b729795bb
14655b34880
153a2728c39
hex231cd9e00

9425493504 has 320 divisors, whose sum is σ = 32094374400. Its totient is φ = 2675441664.

The previous prime is 9425493491. The next prime is 9425493523. The reversal of 9425493504 is 4053945249.

9425493504 is a `hidden beast` number, since 9 + 4 + 2 + 54 + 93 + 504 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 9425493504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24869187 + ... + 24869565.

It is an arithmetic number, because the mean of its divisors is an integer number (100294920).

Almost surely, 29425493504 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 9425493504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16047187200).

9425493504 is an abundant number, since it is smaller than the sum of its proper divisors (22668880896).

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

9425493504 is a wasteful number, since it uses less digits than its factorization.

9425493504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 9425493504 is about 97084.9808363786. The cubic root of 9425493504 is about 2112.3604756607.

The spelling of 9425493504 in words is "nine billion, four hundred twenty-five million, four hundred ninety-three thousand, five hundred four".