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46681666848 = 2533113478139
BaseRepresentation
bin101011011110011100…
…011011010100100000
311110111022210101022000
4223132130123110200
51231101001314343
633240102044000
73241546423035
oct533634332440
9143438711260
1046681666848
1118885647263
129069719600
13452c43bb9b
14238bb4138c
1513333beed3
hexade71b520

46681666848 has 96 divisors (see below), whose sum is σ = 137360059200. Its totient is φ = 15422819328.

The previous prime is 46681666841. The next prime is 46681666859. The reversal of 46681666848 is 84866618664.

46681666848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (46681666841) 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, 141438 + ... + 336701.

It is an arithmetic number, because the mean of its divisors is an integer number (1430833950).

Almost surely, 246681666848 is an apocalyptic number.

46681666848 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

46681666848 is an abundant number, since it is smaller than the sum of its proper divisors (90678392352).

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

46681666848 is a wasteful number, since it uses less digits than its factorization.

46681666848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478271 (or 478257 counting only the distinct ones).

The product of its digits is 63700992, while the sum is 63.

The spelling of 46681666848 in words is "forty-six billion, six hundred eighty-one million, six hundred sixty-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 113 144 216 226 288 339 432 452 678 864 904 1017 1356 1808 2034 2712 3051 3616 4068 5424 6102 8136 10848 12204 16272 24408 32544 48816 97632 478139 956278 1434417 1912556 2868834 3825112 4303251 5737668 7650224 8606502 11475336 12909753 15300448 17213004 22950672 25819506 34426008 45901344 51639012 54029707 68852016 103278024 108059414 137704032 162089121 206556048 216118828 324178242 413112096 432237656 486267363 648356484 864475312 972534726 1296712968 1458802089 1728950624 1945069452 2593425936 2917604178 3890138904 5186851872 5835208356 7780277808 11670416712 15560555616 23340833424 46681666848