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12776006920 = 2354319933727
BaseRepresentation
bin10111110011000001…
…00110010100001000
31012222101022101201111
423321200212110020
5202131124210140
65511430100104
7631413160405
oct137140462410
935871271644
1012776006920
1154667a5106
1225867aa634
131287b66911
14892add2ac
154eb9587ea
hex2f9826508

12776006920 has 64 divisors (see below), whose sum is σ = 29437182720. Its totient is φ = 4987713024.

The previous prime is 12776006891. The next prime is 12776006921. The reversal of 12776006920 is 2960067721.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (12776006921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3426097 + ... + 3429823.

It is an arithmetic number, because the mean of its divisors is an integer number (459955980).

Almost surely, 212776006920 is an apocalyptic number.

12776006920 is a gapful number since it is divisible by the number (10) 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 12776006920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14718591360).

12776006920 is an abundant number, since it is smaller than the sum of its proper divisors (16661175800).

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

12776006920 is a wasteful number, since it uses less digits than its factorization.

12776006920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5774 (or 5770 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 40.

The spelling of 12776006920 in words is "twelve billion, seven hundred seventy-six million, six thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 860 1720 1993 3727 3986 7454 7972 9965 14908 15944 18635 19930 29816 37270 39860 74540 79720 85699 149080 160261 171398 320522 342796 428495 641044 685592 801305 856990 1282088 1602610 1713980 3205220 3427960 6410440 7427911 14855822 29711644 37139555 59423288 74279110 148558220 297116440 319400173 638800346 1277600692 1597000865 2555201384 3194001730 6388003460 12776006920