Search a number
-
+
50106373632 = 293372347479
BaseRepresentation
bin101110101010100100…
…101001011000000000
311210022222222111211000
4232222210221120000
51310104212424012
635004001252000
73422453101650
oct565244513000
9153288874730
1050106373632
111a282818147
129864634000
134956b055c3
1425d4900360
151483da7ddc
hexbaa929600

50106373632 has 640 divisors, whose sum is σ = 181016985600. Its totient is φ = 13374332928.

The previous prime is 50106373619. The next prime is 50106373637. The reversal of 50106373632 is 23637360105.

50106373632 is a `hidden beast` number, since 5 + 0 + 10 + 6 + 3 + 7 + 3 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50106373637) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 104605969 + ... + 104606447.

It is an arithmetic number, because the mean of its divisors is an integer number (282839040).

Almost surely, 250106373632 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 50106373632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90508492800).

50106373632 is an abundant number, since it is smaller than the sum of its proper divisors (130910611968).

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

50106373632 is a wasteful number, since it uses less digits than its factorization.

50106373632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The spelling of 50106373632 in words is "fifty billion, one hundred six million, three hundred seventy-three thousand, six hundred thirty-two".