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46768121388 = 22331735372161
BaseRepresentation
bin101011100011100110…
…001110011000101100
311110201100110201122000
4223203212032120230
51231240114341023
633252431052300
73243646321062
oct534346163054
9143640421560
1046768121388
111891a42689a
129092671090
13454431c111
142399408032
15133ac9b243
hexae398e62c

46768121388 has 96 divisors (see below), whose sum is σ = 128748553920. Its totient is φ = 14630584320.

The previous prime is 46768121353. The next prime is 46768121399. The reversal of 46768121388 is 88312186764.

46768121388 is a `hidden beast` number, since 467 + 6 + 81 + 21 + 3 + 88 = 666.

46768121388 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 612028 + ... + 684188.

It is an arithmetic number, because the mean of its divisors is an integer number (1341130770).

Almost surely, 246768121388 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 46768121388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64374276960).

46768121388 is an abundant number, since it is smaller than the sum of its proper divisors (81980432532).

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

46768121388 is a wasteful number, since it uses less digits than its factorization.

46768121388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72544 (or 72536 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The spelling of 46768121388 in words is "forty-six billion, seven hundred sixty-eight million, one hundred twenty-one thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 353 459 612 706 918 1059 1412 1836 2118 3177 4236 6001 6354 9531 12002 12708 18003 19062 24004 36006 38124 54009 72012 72161 108018 144322 162027 216036 216483 288644 324054 432966 648108 649449 865932 1226737 1298898 1948347 2453474 2597796 3680211 3896694 4906948 7360422 7793388 11040633 14720844 22081266 25472833 33121899 44162532 50945666 66243798 76418499 101891332 132487596 152836998 229255497 305673996 433038161 458510994 687766491 866076322 917021988 1299114483 1375532982 1732152644 2598228966 2751065964 3897343449 5196457932 7794686898 11692030347 15589373796 23384060694 46768121388