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12649541796 = 22333727111681
BaseRepresentation
bin10111100011111100…
…01011000010100100
31012122120100022012000
423301332023002210
5201401240314141
65451111325300
7625316221413
oct136176130244
935576308160
1012649541796
115401377a81
122550380830
1312678b8098
1487ddbd47a
154e07c75b6
hex2f1f8b0a4

12649541796 has 96 divisors (see below), whose sum is σ = 33808642560. Its totient is φ = 4087065600.

The previous prime is 12649541791. The next prime is 12649541809. The reversal of 12649541796 is 69714594621.

12649541796 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 9 + 541 + 7 + 96 = 666.

12649541796 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12649541791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1077076 + ... + 1088756.

It is an arithmetic number, because the mean of its divisors is an integer number (352173360).

Almost surely, 212649541796 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12649541796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16904321280).

12649541796 is an abundant number, since it is smaller than the sum of its proper divisors (21159100764).

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

12649541796 is a wasteful number, since it uses less digits than its factorization.

12649541796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12002 (or 11994 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The spelling of 12649541796 in words is "twelve billion, six hundred forty-nine million, five hundred forty-one thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 271 333 444 542 666 813 999 1084 1332 1626 1998 2439 3252 3996 4878 7317 9756 10027 11681 14634 20054 23362 29268 30081 35043 40108 46724 60162 70086 90243 105129 120324 140172 180486 210258 270729 315387 360972 420516 432197 541458 630774 864394 1082916 1261548 1296591 1728788 2593182 3165551 3889773 5186364 6331102 7779546 9496653 11669319 12662204 15559092 18993306 23338638 28489959 37986612 46677276 56979918 85469877 113959836 117125387 170939754 234250774 341879508 351376161 468501548 702752322 1054128483 1405504644 2108256966 3162385449 4216513932 6324770898 12649541796