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12916147806 = 2325342132159
BaseRepresentation
bin11000000011101110…
…01100011001011110
31020100011000021212200
430001313030121132
5202423013212211
65533353512330
7635034305412
oct140167143136
936304007780
1012916147806
115528913021
1226057126a6
1312aabc3113
148a757cd42
15508ddbb56
hex301dcc65e

12916147806 has 48 divisors (see below), whose sum is σ = 28581621120. Its totient is φ = 4213984320.

The previous prime is 12916147801. The next prime is 12916147831. The reversal of 12916147806 is 60874161921.

12916147806 is a `hidden beast` number, since 1 + 29 + 1 + 614 + 7 + 8 + 0 + 6 = 666.

12916147806 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×129161478062 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12916147801) 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 23 ways as a sum of consecutive naturals, for example, 385555 + ... + 417713.

It is an arithmetic number, because the mean of its divisors is an integer number (595450440).

Almost surely, 212916147806 is an apocalyptic number.

12916147806 is an abundant number, since it is smaller than the sum of its proper divisors (15665473314).

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

12916147806 is a wasteful number, since it uses less digits than its factorization.

12916147806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32641 (or 32638 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 12916147806 in words is "twelve billion, nine hundred sixteen million, one hundred forty-seven thousand, eight hundred six".

Divisors: 1 2 3 6 9 18 53 106 159 318 421 477 842 954 1263 2526 3789 7578 22313 32159 44626 64318 66939 96477 133878 192954 200817 289431 401634 578862 1704427 3408854 5113281 10226562 13538939 15339843 27077878 30679686 40616817 81233634 121850451 243700902 717563767 1435127534 2152691301 4305382602 6458073903 12916147806