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12494831712 = 25311397787
BaseRepresentation
bin10111010001100000…
…00000000001100000
31012020210020012211220
423220300000001200
5201042134103322
65423503335040
7621430213536
oct135060000140
935223205756
1012494831712
115332009000
1225085b1480
13124182a35c
1486762a156
154d1e1755c
hex2e8c00060

12494831712 has 96 divisors (see below), whose sum is σ = 36076731264. Its totient is φ = 3786273920.

The previous prime is 12494831707. The next prime is 12494831749. The reversal of 12494831712 is 21713849421.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×124948317122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78883 + ... + 176669.

It is an arithmetic number, because the mean of its divisors is an integer number (375799284).

Almost surely, 212494831712 is an apocalyptic number.

12494831712 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 12494831712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18038365632).

12494831712 is an abundant number, since it is smaller than the sum of its proper divisors (23581899552).

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

12494831712 is an equidigital number, since it uses as much as digits as its factorization.

12494831712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97833 (or 97803 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The spelling of 12494831712 in words is "twelve billion, four hundred ninety-four million, eight hundred thirty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 352 363 484 528 726 968 1056 1331 1452 1936 2662 2904 3872 3993 5324 5808 7986 10648 11616 15972 21296 31944 42592 63888 97787 127776 195574 293361 391148 586722 782296 1075657 1173444 1564592 2151314 2346888 3129184 3226971 4302628 4693776 6453942 8605256 9387552 11832227 12907884 17210512 23664454 25815768 34421024 35496681 47328908 51631536 70993362 94657816 103263072 130154497 141986724 189315632 260308994 283973448 378631264 390463491 520617988 567946896 780926982 1041235976 1135893792 1561853964 2082471952 3123707928 4164943904 6247415856 12494831712