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12923281392 = 2437613371871
BaseRepresentation
bin11000000100100100…
…11001111111110000
31020100122102201022120
430002102121333300
5202431330001032
65534210434240
7635152036140
oct140222317760
936318381276
1012923281392
11553194564a
122607b92980
1312ac520088
148a84b8920
1550984a62c
hex302499ff0

12923281392 has 160 divisors (see below), whose sum is σ = 38915794944. Its totient is φ = 3619123200.

The previous prime is 12923281387. The next prime is 12923281403. The reversal of 12923281392 is 29318232921.

It is a happy number.

It is a super-2 number, since 2×129232813922 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6906217 + ... + 6908087.

Almost surely, 212923281392 is an apocalyptic number.

12923281392 is a gapful number since it is divisible by the number (12) 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 12923281392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19457897472).

12923281392 is an abundant number, since it is smaller than the sum of its proper divisors (25992513552).

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

12923281392 is a wasteful number, since it uses less digits than its factorization.

12923281392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2287 (or 2281 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The spelling of 12923281392 in words is "twelve billion, nine hundred twenty-three million, two hundred eighty-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 61 84 112 122 168 183 244 336 337 366 427 488 674 732 854 976 1011 1281 1348 1464 1708 1871 2022 2359 2562 2696 2928 3416 3742 4044 4718 5124 5392 5613 6832 7077 7484 8088 9436 10248 11226 13097 14154 14968 16176 18872 20496 20557 22452 26194 28308 29936 37744 39291 41114 44904 52388 56616 61671 78582 82228 89808 104776 113232 114131 123342 143899 157164 164456 209552 228262 246684 287798 314328 328912 342393 431697 456524 493368 575596 628656 630527 684786 798917 863394 913048 986736 1151192 1261054 1369572 1597834 1726788 1826096 1891581 2302384 2396751 2522108 2739144 3195668 3453576 3783162 4413689 4793502 5044216 5478288 6391336 6907152 7566324 8827378 9587004 10088432 12782672 13241067 15132648 17654756 19174008 26482134 30265296 35309512 38348016 38462147 52964268 70619024 76924294 105928536 115386441 153848588 211857072 230772882 269235029 307697176 461545764 538470058 615394352 807705087 923091528 1076940116 1615410174 1846183056 2153880232 3230820348 4307760464 6461640696 12923281392