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12903112908 = 22327373137273
BaseRepresentation
bin11000000010001010…
…11110000011001100
31020022020111001100200
430001011132003030
5202411144103113
65532210253500
7634515435660
oct140105360314
936266431320
1012903112908
11552151a784
122601287290
1312a82ab06a
148a59488a0
15507bb4873
hex30115e0cc

12903112908 has 72 divisors (see below), whose sum is σ = 37375866528. Its totient is φ = 3676693248.

The previous prime is 12903112891. The next prime is 12903112909. The reversal of 12903112908 is 80921130921.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12903112909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25360 + ... + 162632.

Almost surely, 212903112908 is an apocalyptic number.

12903112908 is a gapful number since it is divisible by the number (18) 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 12903112908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18687933264).

12903112908 is an abundant number, since it is smaller than the sum of its proper divisors (24472753620).

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

12903112908 is a wasteful number, since it uses less digits than its factorization.

12903112908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137663 (or 137658 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 12903112908 in words is "twelve billion, nine hundred three million, one hundred twelve thousand, nine hundred eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 373 746 1119 1492 2238 2611 3357 4476 5222 6714 7833 10444 13428 15666 23499 31332 46998 93996 137273 274546 411819 549092 823638 960911 1235457 1647276 1921822 2470914 2882733 3843644 4941828 5765466 8648199 11530932 17296398 34592796 51202829 102405658 153608487 204811316 307216974 358419803 460825461 614433948 716839606 921650922 1075259409 1433679212 1843301844 2150518818 3225778227 4301037636 6451556454 12903112908