Search a number
-
+
46331221465368 = 23337294912152001
BaseRepresentation
bin10101000100011010100111…
…11111110101100100011000
320002001012222111002100211000
422202031103333311210120
522033042320143342433
6242312134100505000
712521214600415620
oct1242152377654430
9202035874070730
1046331221465368
1113842a62734864
1252433743ab160
131cb1027bb9b08
14b6262bb71880
155552ac318113
hex2a2353ff5918

46331221465368 has 256 divisors, whose sum is σ = 152465037696000. Its totient is φ = 12754990080000.

The previous prime is 46331221465297. The next prime is 46331221465409. The reversal of 46331221465368 is 86356412213364.

46331221465368 is a `hidden beast` number, since 4 + 6 + 3 + 3 + 1 + 2 + 214 + 65 + 368 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20453368 + ... + 22605368.

It is an arithmetic number, because the mean of its divisors is an integer number (595566553500).

Almost surely, 246331221465368 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 46331221465368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76232518848000).

46331221465368 is an abundant number, since it is smaller than the sum of its proper divisors (106133816230632).

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

46331221465368 is a wasteful number, since it uses less digits than its factorization.

46331221465368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2152543 (or 2152533 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 54.

The spelling of 46331221465368 in words is "forty-six trillion, three hundred thirty-one billion, two hundred twenty-one million, four hundred sixty-five thousand, three hundred sixty-eight".