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10466331312 = 243349761821
BaseRepresentation
bin10011011111101011…
…11000101010110000
31000000102020201102110
421233311320222300
5132413340100222
64450321445320
7520236230313
oct115765705260
930012221373
1010466331312
114490a75698
1220411a0840
13caa4b4768
1471407297a
15413cc530c
hex26fd78ab0

10466331312 has 80 divisors (see below), whose sum is σ = 27184197600. Its totient is φ = 3469977600.

The previous prime is 10466331311. The next prime is 10466331319. The reversal of 10466331312 is 21313366401.

It is a super-2 number, since 2×104663313122 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10466331312.

It is not an unprimeable number, because it can be changed into a prime (10466331311) 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 15 ways as a sum of consecutive naturals, for example, 12747862 + ... + 12748682.

It is an arithmetic number, because the mean of its divisors is an integer number (339802470).

Almost surely, 210466331312 is an apocalyptic number.

10466331312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10466331312 is an abundant number, since it is smaller than the sum of its proper divisors (16717866288).

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

10466331312 is a wasteful number, since it uses less digits than its factorization.

10466331312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1942 (or 1936 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

Adding to 10466331312 its reverse (21313366401), we get a palindrome (31779697713).

The spelling of 10466331312 in words is "ten billion, four hundred sixty-six million, three hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 349 698 761 821 1047 1396 1522 1642 2094 2283 2463 2792 3044 3284 4188 4566 4926 5584 6088 6568 8376 9132 9852 12176 13136 16752 18264 19704 36528 39408 265589 286529 531178 573058 624781 796767 859587 1062356 1146116 1249562 1593534 1719174 1874343 2124712 2292232 2499124 3187068 3438348 3748686 4249424 4584464 4998248 6374136 6876696 7497372 9996496 12748272 13753392 14994744 29989488 218048569 436097138 654145707 872194276 1308291414 1744388552 2616582828 3488777104 5233165656 10466331312