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8470466784 = 253613173153
BaseRepresentation
bin1111110001110000…
…10001000011100000
3210212022200022000000
413320320101003200
5114321414414114
63520303300000
7416622531303
oct77070210340
923768608000
108470466784
1136573a307a
1217848aa600
13a4cb57830
145a4d72b3a
1534897ce09
hex1f8e110e0

8470466784 has 672 divisors, whose sum is σ = 29985064704. Its totient is φ = 2329067520.

The previous prime is 8470466761. The next prime is 8470466813. The reversal of 8470466784 is 4876640748.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 8470466784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 159820102 + ... + 159820154.

It is an arithmetic number, because the mean of its divisors is an integer number (44620632).

Almost surely, 28470466784 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 8470466784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14992532352).

8470466784 is an abundant number, since it is smaller than the sum of its proper divisors (21514597920).

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

8470466784 is a wasteful number, since it uses less digits than its factorization.

8470466784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The square root of 8470466784 is about 92035.1388546788. The cubic root of 8470466784 is about 2038.4611924837.

The spelling of 8470466784 in words is "eight billion, four hundred seventy million, four hundred sixty-six thousand, seven hundred eighty-four".