Search a number
-
+
9893913710688 = 253474561119557
BaseRepresentation
bin1000111111111001101100…
…1101100101000001100000
31022000211220212011101020000
42033332123031211001200
52244100213402220223
633013111243420000
72040545255641140
oct217763315450140
938024825141200
109893913710688
113174a923a0757
12113960b824600
13569cb872a077
14262c21a3a920
1512256b728543
hex8ff9b365060

9893913710688 has 240 divisors, whose sum is σ = 33262112578464. Its totient is φ = 2826189066240.

The previous prime is 9893913710683. The next prime is 9893913710741. The reversal of 9893913710688 is 8860173193989.

9893913710688 is a `hidden beast` number, since 9 + 8 + 93 + 91 + 371 + 0 + 6 + 88 = 666.

9893913710688 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 (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9893913710683) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 82695006 + ... + 82814562.

Almost surely, 29893913710688 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 9893913710688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16631056289232).

9893913710688 is an abundant number, since it is smaller than the sum of its proper divisors (23368198867776).

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

9893913710688 is a wasteful number, since it uses less digits than its factorization.

9893913710688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124147 (or 124130 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 72.

The spelling of 9893913710688 in words is "nine trillion, eight hundred ninety-three billion, nine hundred thirteen million, seven hundred ten thousand, six hundred eighty-eight".