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4717064352 = 25371113191257
BaseRepresentation
bin1000110010010100…
…01011000010100000
3110011201222200211010
410121022023002200
534130032024402
62100023020520
7224615246130
oct43112130240
913151880733
104717064352
1120007292a0
12ab789a740
135a2356c50
1432a690ac0
151c91b8a6c
hex11928b0a0

4717064352 has 384 divisors, whose sum is σ = 16777248768. Its totient is φ = 1120665600.

The previous prime is 4717064351. The next prime is 4717064357. The reversal of 4717064352 is 2534607174.

It is a super-2 number, since 2×47170643522 = 44501392201818359808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 4717064352.

It is not an unprimeable number, because it can be changed into a prime (4717064351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18354208 + ... + 18354464.

It is an arithmetic number, because the mean of its divisors is an integer number (43690752).

Almost surely, 24717064352 is an apocalyptic number.

4717064352 is a gapful number since it is divisible by the number (42) 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 4717064352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8388624384).

4717064352 is an abundant number, since it is smaller than the sum of its proper divisors (12060184416).

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

4717064352 is a wasteful number, since it uses less digits than its factorization.

4717064352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The square root of 4717064352 is about 68680.8878218679. The cubic root of 4717064352 is about 1677.0934664292.

The spelling of 4717064352 in words is "four billion, seven hundred seventeen million, sixty-four thousand, three hundred fifty-two".