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3130628992 = 27233134303
BaseRepresentation
bin1011101010011001…
…1001101110000000
322002011211102121221
42322212121232000
522402420111432
61234352124424
7140402623141
oct27246315600
98064742557
103130628992
111367181997
12734536714
133ab7903ba
14219acbac8
15134c98b97
hexba999b80

3130628992 has 64 divisors (see below), whose sum is σ = 6718095360. Its totient is φ = 1448916480.

The previous prime is 3130628989. The next prime is 3130629013. The reversal of 3130628992 is 2998260313.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74113 + ... + 108415.

It is an arithmetic number, because the mean of its divisors is an integer number (104970240).

Almost surely, 23130628992 is an apocalyptic number.

3130628992 is a gapful number since it is divisible by the number (32) 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 3130628992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3359047680).

3130628992 is an abundant number, since it is smaller than the sum of its proper divisors (3587466368).

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

3130628992 is a wasteful number, since it uses less digits than its factorization.

3130628992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34371 (or 34359 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 43.

The square root of 3130628992 is about 55952.0240205839. The cubic root of 3130628992 is about 1462.8861704271.

The spelling of 3130628992 in words is "three billion, one hundred thirty million, six hundred twenty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 23 31 32 46 62 64 92 124 128 184 248 368 496 713 736 992 1426 1472 1984 2852 2944 3968 5704 11408 22816 34303 45632 68606 91264 137212 274424 548848 788969 1063393 1097696 1577938 2126786 2195392 3155876 4253572 4390784 6311752 8507144 12623504 17014288 24458039 25247008 34028576 48916078 50494016 68057152 97832156 100988032 136114304 195664312 391328624 782657248 1565314496 3130628992