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3125725680 = 2435721173331
BaseRepresentation
bin1011101001001110…
…1100100111110000
322001211121022112210
42322103230213300
522400141210210
61234055052120
7140313141600
oct27223544760
98054538483
103125725680
111364432a70
12732971040
133aa76462c
142191b2c00
1513462ae20
hexba4ec9f0

3125725680 has 480 divisors, whose sum is σ = 12502556928. Its totient is φ = 638668800.

The previous prime is 3125725643. The next prime is 3125725697. The reversal of 3125725680 is 865275213.

It is a super-2 number, since 2×31257256802 = 19540322053222924800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9443115 + ... + 9443445.

Almost surely, 23125725680 is an apocalyptic number.

3125725680 is a gapful number since it is divisible by the number (30) 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 3125725680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6251278464).

3125725680 is an abundant number, since it is smaller than the sum of its proper divisors (9376831248).

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

3125725680 is a wasteful number, since it uses less digits than its factorization.

3125725680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 3125725680 is about 55908.1897399656. The cubic root of 3125725680 is about 1462.1220284113.

The spelling of 3125725680 in words is "three billion, one hundred twenty-five million, seven hundred twenty-five thousand, six hundred eighty".