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1630712496 = 24375418971
BaseRepresentation
bin110000100110010…
…1011001010110000
311012122110210000010
41201030223022300
511314430244441
6425451454520
755260553560
oct14114531260
94178423003
101630712496
11767549486
12396157440
131ccaca14a
1411680ada0
1598269116
hex6132b2b0

1630712496 has 80 divisors (see below), whose sum is σ = 4823921408. Its totient is φ = 465004800.

The previous prime is 1630712483. The next prime is 1630712513. The reversal of 1630712496 is 6942170361.

It is a super-2 number, since 2×16307124962 = 5318446489221100032, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177291 + ... + 186261.

Almost surely, 21630712496 is an apocalyptic number.

1630712496 is a gapful number since it is divisible by the number (16) 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 1630712496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2411960704).

1630712496 is an abundant number, since it is smaller than the sum of its proper divisors (3193208912).

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

1630712496 is a wasteful number, since it uses less digits than its factorization.

1630712496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9530 (or 9524 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 1630712496 is about 40382.0813728069. The cubic root of 1630712496 is about 1177.0433726952.

The spelling of 1630712496 in words is "one billion, six hundred thirty million, seven hundred twelve thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 541 1082 1623 2164 3246 3787 4328 6492 7574 8656 8971 11361 12984 15148 17942 22722 25968 26913 30296 35884 45444 53826 60592 62797 71768 90888 107652 125594 143536 181776 188391 215304 251188 376782 430608 502376 753564 1004752 1507128 3014256 4853311 9706622 14559933 19413244 29119866 33973177 38826488 58239732 67946354 77652976 101919531 116479464 135892708 203839062 232958928 271785416 407678124 543570832 815356248 1630712496