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4731697152 = 211327213231
BaseRepresentation
bin1000110100000011…
…11111100000000000
3110012202112010020200
410122001333200000
534142303302102
62101304405200
7225153522300
oct43201774000
913182463220
104731697152
112008a13116
12b00776800
135a53ab400
1432c5bd600
151ca60951c
hex11a07f800

4731697152 has 648 divisors, whose sum is σ = 17769417120. Its totient is φ = 1207664640.

The previous prime is 4731697147. The next prime is 4731697177. The reversal of 4731697152 is 2517961374.

4731697152 is a `hidden beast` number, since 473 + 1 + 69 + 71 + 52 = 666.

It is a super-2 number, since 2×47316971522 = 44777915876489822208, which contains 22 as substring.

Its product of digits (317520) is a multiple of the sum of its prime divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 4731697098 and 4731697107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 152635377 + ... + 152635407.

It is an arithmetic number, because the mean of its divisors is an integer number (27421940).

Almost surely, 24731697152 is an apocalyptic number.

4731697152 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 4731697152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8884708560).

4731697152 is an abundant number, since it is smaller than the sum of its proper divisors (13037719968).

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

4731697152 is a wasteful number, since it uses less digits than its factorization.

4731697152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 56 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 4731697152 is about 68787.3327873672. The cubic root of 4731697152 is about 1678.8258462406.

The spelling of 4731697152 in words is "four billion, seven hundred thirty-one million, six hundred ninety-seven thousand, one hundred fifty-two".