Search a number
-
+
9139963472640 = 2832571113792127
BaseRepresentation
bin1000010100000001000001…
…0001101010101100000000
31012100202211202202220222100
42011000100101222230000
52144222121122111030
631234501413310400
71632224546441640
oct205002021525400
935322752686870
109139963472640
112a04267113770
121037477335400
13513b83002960
1423853b526520
1510cb410d5360
hex8501046ab00

9139963472640 has 2592 divisors, whose sum is σ = 43342158053376. Its totient is φ = 1717299118080.

The previous prime is 9139963472579. The next prime is 9139963472657. The reversal of 9139963472640 is 462743699319.

9139963472640 is a `hidden beast` number, since 9 + 1 + 39 + 96 + 3 + 472 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 71968216257 + ... + 71968216383.

Almost surely, 29139963472640 is an apocalyptic number.

9139963472640 is a gapful number since it is divisible by the number (90) 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 9139963472640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21671079026688).

9139963472640 is an abundant number, since it is smaller than the sum of its proper divisors (34202194580736).

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

9139963472640 is a wasteful number, since it uses less digits than its factorization.

9139963472640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 63.

The spelling of 9139963472640 in words is "nine trillion, one hundred thirty-nine billion, nine hundred sixty-three million, four hundred seventy-two thousand, six hundred forty".