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12430697328 = 24327119310337
BaseRepresentation
bin10111001001110110…
…10110001101110000
31012002022112212000100
423210323112031300
5200424224303303
65413252552400
7620021120040
oct134473261560
935068485010
1012430697328
1152a9893985
1224ab022700
13123146360a
1485ccd3720
154cb4998a3
hex2e4ed6370

12430697328 has 120 divisors (see below), whose sum is σ = 39795676128. Its totient is φ = 3548307456.

The previous prime is 12430697291. The next prime is 12430697333. The reversal of 12430697328 is 82379603421.

12430697328 is a `hidden beast` number, since 12 + 4 + 306 + 9 + 7 + 328 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1197376 + ... + 1207712.

Almost surely, 212430697328 is an apocalyptic number.

12430697328 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 12430697328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19897838064).

12430697328 is an abundant number, since it is smaller than the sum of its proper divisors (27364978800).

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

12430697328 is a wasteful number, since it uses less digits than its factorization.

12430697328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11551 (or 11542 counting only the distinct ones).

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

The spelling of 12430697328 in words is "twelve billion, four hundred thirty million, six hundred ninety-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 1193 2386 3579 4772 7158 8351 9544 10337 10737 14316 16702 19088 20674 21474 25053 28632 31011 33404 41348 42948 50106 57264 62022 66808 72359 75159 82696 85896 93033 100212 124044 133616 144718 150318 165392 171792 186066 200424 217077 248088 289436 300636 372132 400848 434154 496176 578872 601272 651231 744264 868308 1157744 1202544 1302462 1488528 1736616 2604924 3473232 5209848 10419696 12332041 24664082 36996123 49328164 73992246 86324287 98656328 110988369 147984492 172648574 197312656 221976738 258972861 295968984 345297148 443953476 517945722 591937968 690594296 776918583 887906952 1035891444 1381188592 1553837166 1775813904 2071782888 3107674332 4143565776 6215348664 12430697328