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12933719760 = 2435134145423
BaseRepresentation
bin11000000101110100…
…01110011011010000
31020101101002001001210
430002322032123100
5202442013013020
65535222300120
7635336542533
oct140272163320
936341061053
1012933719760
1155378250a5
12260b587640
1312b1736320
148a9a34a1a
1550a70d3e0
hex302e8e6d0

12933719760 has 80 divisors (see below), whose sum is σ = 43178736384. Its totient is φ = 3183684096.

The previous prime is 12933719759. The next prime is 12933719801. The reversal of 12933719760 is 6791733921.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×129337197602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2069592 + ... + 2075831.

Almost surely, 212933719760 is an apocalyptic number.

12933719760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12933719760 is an abundant number, since it is smaller than the sum of its proper divisors (30245016624).

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

12933719760 is a wasteful number, since it uses less digits than its factorization.

12933719760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4145452 (or 4145446 counting only the distinct ones).

The product of its (nonzero) digits is 428652, while the sum is 48.

The spelling of 12933719760 in words is "twelve billion, nine hundred thirty-three million, seven hundred nineteen thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 4145423 8290846 12436269 16581692 20727115 24872538 33163384 41454230 49745076 53890499 62181345 66326768 82908460 99490152 107780998 124362690 161671497 165816920 198980304 215561996 248725380 269452495 323342994 331633840 431123992 497450760 538904990 646685988 808357485 862247984 994901520 1077809980 1293371976 1616714970 2155619960 2586743952 3233429940 4311239920 6466859880 12933719760