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12939884560 = 245179514621
BaseRepresentation
bin11000000110100011…
…01111100000010000
31020101210200020120201
430003101233200100
5203000102301220
65540002344544
7635443126651
oct140321574020
936353606521
1012939884560
115540255879
12261165b154
1312b2ab4335
148aa79b528
1550b029d0a
hex30346f810

12939884560 has 40 divisors (see below), whose sum is σ = 31854954456. Its totient is φ = 4871485440.

The previous prime is 12939884549. The next prime is 12939884567. The reversal of 12939884560 is 6548893921.

It can be written as a sum of positive squares in 4 ways, for example, as 2325939984 + 10613944576 = 48228^2 + 103024^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×129398845602 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12939884567) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4755951 + ... + 4758670.

Almost surely, 212939884560 is an apocalyptic number.

12939884560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12939884560 is an abundant number, since it is smaller than the sum of its proper divisors (18915069896).

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

12939884560 is a wasteful number, since it uses less digits than its factorization.

12939884560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9514651 (or 9514645 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 55.

The spelling of 12939884560 in words is "twelve billion, nine hundred thirty-nine million, eight hundred eighty-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 9514621 19029242 38058484 47573105 76116968 95146210 152233936 161748557 190292420 323497114 380584840 646994228 761169680 808742785 1293988456 1617485570 2587976912 3234971140 6469942280 12939884560