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12991311990 = 2325433333367
BaseRepresentation
bin11000001100101011…
…11011000001110110
31020112101110000202100
430012111323001312
5203101233440430
65545040522530
7636636221106
oct140625730166
936471400670
1012991311990
115567290a88
122626920446
1312c064c377
148b3547206
155107d7960
hex30657b076

12991311990 has 48 divisors (see below), whose sum is σ = 33855520608. Its totient is φ = 3456338688.

The previous prime is 12991311967. The next prime is 12991312003. The reversal of 12991311990 is 9911319921.

12991311990 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127714 + ... + 205653.

It is an arithmetic number, because the mean of its divisors is an integer number (705323346).

Almost surely, 212991311990 is an apocalyptic number.

12991311990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12991311990 is an abundant number, since it is smaller than the sum of its proper divisors (20864208618).

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

12991311990 is a wasteful number, since it uses less digits than its factorization.

12991311990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333813 (or 333810 counting only the distinct ones).

The product of its (nonzero) digits is 39366, while the sum is 45.

The spelling of 12991311990 in words is "twelve billion, nine hundred ninety-one million, three hundred eleven thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 433 866 1299 2165 2598 3897 4330 6495 7794 12990 19485 38970 333367 666734 1000101 1666835 2000202 3000303 3333670 5000505 6000606 10001010 15001515 30003030 144347911 288695822 433043733 721739555 866087466 1299131199 1443479110 2165218665 2598262398 4330437330 6495655995 12991311990