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12356457990 = 2351722635419
BaseRepresentation
bin10111000001000000…
…01001011000000110
31011220010212002210020
423200200021120012
5200301223123430
65402041440010
7615130105602
oct134040113006
934803762706
1012356457990
115270997858
12248a1a0006
13121bc6c306
148530ca502
154c4bd2b10
hex2e0809606

12356457990 has 96 divisors (see below), whose sum is σ = 31628171520. Its totient is φ = 3088866816.

The previous prime is 12356457937. The next prime is 12356458003. The reversal of 12356457990 is 9975465321.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2277501 + ... + 2282919.

It is an arithmetic number, because the mean of its divisors is an integer number (329460120).

Almost surely, 212356457990 is an apocalyptic number.

12356457990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12356457990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15814085760).

12356457990 is an abundant number, since it is smaller than the sum of its proper divisors (19271713530).

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

12356457990 is a wasteful number, since it uses less digits than its factorization.

12356457990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5726 (or 5709 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 51.

The spelling of 12356457990 in words is "twelve billion, three hundred fifty-six million, four hundred fifty-seven thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 263 289 510 526 578 789 867 1315 1445 1578 1734 2630 2890 3945 4335 4471 5419 7890 8670 8942 10838 13413 16257 22355 26826 27095 32514 44710 54190 67065 76007 81285 92123 134130 152014 162570 184246 228021 276369 380035 456042 460615 552738 760070 921230 1140105 1381845 1425197 1566091 2280210 2763690 2850394 3132182 4275591 4698273 7125985 7830455 8551182 9396546 14251970 15660910 21377955 23491365 24228349 42755910 46982730 48456698 72685047 121141745 145370094 242283490 363425235 411881933 726850470 823763866 1235645799 2059409665 2471291598 4118819330 6178228995 12356457990