Search a number
-
+
46749326904 = 2334727189233
BaseRepresentation
bin101011100010011110…
…100001111000111000
311110200001002212110000
4223202132201320320
51231220311430104
633250520153000
73243330502500
oct534236417070
9143601085400
1046749326904
111890a85a265
129088308760
13454046b617
142396b14a00
1513392d7639
hexae27a1e38

46749326904 has 480 divisors, whose sum is σ = 156870885600. Its totient is φ = 12964976640.

The previous prime is 46749326887. The next prime is 46749326941. The reversal of 46749326904 is 40962394764.

46749326904 is a `hidden beast` number, since 4 + 67 + 493 + 2 + 6 + 90 + 4 = 666.

46749326904 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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 200640772 + ... + 200641004.

It is an arithmetic number, because the mean of its divisors is an integer number (326814345).

Almost surely, 246749326904 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 46749326904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78435442800).

46749326904 is an abundant number, since it is smaller than the sum of its proper divisors (110121558696).

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

46749326904 is a wasteful number, since it uses less digits than its factorization.

46749326904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 46749326904 in words is "forty-six billion, seven hundred forty-nine million, three hundred twenty-six thousand, nine hundred four".