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12776079920 = 245296782193
BaseRepresentation
bin10111110011000001…
…11000001000110000
31012222101110002212012
423321200320020300
5202131134024140
65511431422052
7631413613262
oct137140701060
935871402765
1012776079920
115466844a3a
122586824928
131287b90c06
14892b1bb32
154eb970265
hex2f9838230

12776079920 has 80 divisors (see below), whose sum is σ = 31187691360. Its totient is φ = 4860506112.

The previous prime is 12776079917. The next prime is 12776079931. The reversal of 12776079920 is 2997067721.

It is a tau number, because it is divible by the number of its divisors (80).

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, 114344 + ... + 196536.

It is an arithmetic number, because the mean of its divisors is an integer number (389846142).

Almost surely, 212776079920 is an apocalyptic number.

12776079920 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 12776079920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15593845680).

12776079920 is an abundant number, since it is smaller than the sum of its proper divisors (18411611440).

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

12776079920 is a wasteful number, since it uses less digits than its factorization.

12776079920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82302 (or 82296 counting only the distinct ones).

The product of its (nonzero) digits is 666792, while the sum is 50.

The spelling of 12776079920 in words is "twelve billion, seven hundred seventy-six million, seventy-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 67 80 116 134 145 232 268 290 335 464 536 580 670 1072 1160 1340 1943 2320 2680 3886 5360 7772 9715 15544 19430 31088 38860 77720 82193 155440 164386 328772 410965 657544 821930 1315088 1643860 2383597 3287720 4767194 5506931 6575440 9534388 11013862 11917985 19068776 22027724 23835970 27534655 38137552 44055448 47671940 55069310 88110896 95343880 110138620 159700999 190687760 220277240 319401998 440554480 638803996 798504995 1277607992 1597009990 2555215984 3194019980 6388039960 12776079920