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12468901392 = 24321918672441
BaseRepresentation
bin10111001110011010…
…00101011000010000
31012011222102211010200
423213031011120100
5201014014321032
65421135455200
7620663625123
oct134715053020
935158384120
1012468901392
115319408192
1224bb987500
13123934b87c
14863dda3ba
154ce9e447c
hex2e7345610

12468901392 has 120 divisors (see below), whose sum is σ = 36766947360. Its totient is φ = 3933826560.

The previous prime is 12468901391. The next prime is 12468901397. The reversal of 12468901392 is 29310986421.

12468901392 is a `hidden beast` number, since 1 + 2 + 468 + 90 + 13 + 92 = 666.

It is not an unprimeable number, because it can be changed into a prime (12468901391) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5106892 + ... + 5109332.

It is an arithmetic number, because the mean of its divisors is an integer number (306391228).

Almost surely, 212468901392 is an apocalyptic number.

12468901392 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 12468901392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18383473680).

12468901392 is an abundant number, since it is smaller than the sum of its proper divisors (24298045968).

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

12468901392 is a wasteful number, since it uses less digits than its factorization.

12468901392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4341 (or 4332 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 12468901392 in words is "twelve billion, four hundred sixty-eight million, nine hundred one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 1867 2441 2736 3734 4882 5601 7323 7468 9764 11202 14646 14936 16803 19528 21969 22404 29292 29872 33606 35473 39056 43938 44808 46379 58584 67212 70946 87876 89616 92758 106419 117168 134424 139137 141892 175752 185516 212838 268848 278274 283784 319257 351504 371032 417411 425676 556548 567568 638514 742064 834822 851352 1113096 1277028 1669644 1702704 2226192 2554056 3339288 4557347 5108112 6678576 9114694 13672041 18229388 27344082 36458776 41016123 54688164 72917552 82032246 86589593 109376328 164064492 173179186 218752656 259768779 328128984 346358372 519537558 656257968 692716744 779306337 1039075116 1385433488 1558612674 2078150232 3117225348 4156300464 6234450696 12468901392