Search a number
-
+
46844239904 = 257411431289
BaseRepresentation
bin101011101000001000…
…100110000000100000
311110220122200221121022
4223220020212000200
51231414111134104
633304150345012
73245562320000
oct535010460040
9143818627538
1046844239904
1118959396860
1290b405b168
134557020867
1423a5580000
1513427d4bbe
hexae8226020

46844239904 has 240 divisors, whose sum is σ = 120192478560. Its totient is φ = 17812730880.

The previous prime is 46844239889. The next prime is 46844239913. The reversal of 46844239904 is 40993244864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36340892 + ... + 36342180.

It is an arithmetic number, because the mean of its divisors is an integer number (500801994).

Almost surely, 246844239904 is an apocalyptic number.

46844239904 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46844239904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60096239280).

46844239904 is an abundant number, since it is smaller than the sum of its proper divisors (73348238656).

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

46844239904 is a wasteful number, since it uses less digits than its factorization.

46844239904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 53.

The spelling of 46844239904 in words is "forty-six billion, eight hundred forty-four million, two hundred thirty-nine thousand, nine hundred four".