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4831431264 = 2532112197297
BaseRepresentation
bin1000111111111100…
…11100101001100000
3110110201012010201200
410133332130221200
534343321300024
62115230201200
7230504326302
oct43776345140
913421163650
104831431264
11205a242900
12b2a053200
135bcc5ab8a
1433b941972
151d425a2c9
hex11ff9ca60

4831431264 has 216 divisors, whose sum is σ = 15898984920. Its totient is φ = 1386823680.

The previous prime is 4831431211. The next prime is 4831431271. The reversal of 4831431264 is 4621341384.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 658464 + ... + 665760.

Almost surely, 24831431264 is an apocalyptic number.

4831431264 is a gapful number since it is divisible by the number (44) 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 4831431264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7949492460).

4831431264 is an abundant number, since it is smaller than the sum of its proper divisors (11067553656).

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

4831431264 is a wasteful number, since it uses less digits than its factorization.

4831431264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7354 (or 7332 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 4831431264 is about 69508.4977826453. The cubic root of 4831431264 is about 1690.5392889280.

The spelling of 4831431264 in words is "four billion, eight hundred thirty-one million, four hundred thirty-one thousand, two hundred sixty-four".