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13032947628 = 2234192111427
BaseRepresentation
bin11000010001101001…
…01111111110101100
31020122021210100010000
430020310233332230
5203142413311003
65553125144300
7640653140601
oct141064577654
936567710100
1013032947628
1155888394a8
12263885b090
1312c916953c
148b8ca46a8
155142ae1a3
hex308d2ffac

13032947628 has 90 divisors (see below), whose sum is σ = 35958595596. Its totient is φ = 4115630736.

The previous prime is 13032947621. The next prime is 13032947633. The reversal of 13032947628 is 82674923031.

13032947628 is a `hidden beast` number, since 13 + 0 + 3 + 2 + 9 + 4 + 7 + 628 = 666.

It is not an unprimeable number, because it can be changed into a prime (13032947621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 61251 + ... + 172677.

Almost surely, 213032947628 is an apocalyptic number.

13032947628 is a gapful number since it is divisible by the number (18) 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 13032947628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17979297798).

13032947628 is an abundant number, since it is smaller than the sum of its proper divisors (22925647968).

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

13032947628 is a wasteful number, since it uses less digits than its factorization.

13032947628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111481 (or 111451 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 13032947628 in words is "thirteen billion, thirty-two million, nine hundred forty-seven thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 361 513 684 722 1026 1083 1444 1539 2052 2166 3078 3249 4332 6156 6498 9747 12996 19494 29241 38988 58482 111427 116964 222854 334281 445708 668562 1002843 1337124 2005686 2117113 3008529 4011372 4234226 6017058 6351339 8468452 9025587 12034116 12702678 18051174 19054017 25405356 36102348 38108034 40225147 57162051 76216068 80450294 114324102 120675441 160900588 171486153 228648204 241350882 342972306 362026323 482701764 685944612 724052646 1086078969 1448105292 2172157938 3258236907 4344315876 6516473814 13032947628