Search a number
-
+
31993215840 = 2533547157571
BaseRepresentation
bin11101110010111100…
…011011101101100000
310001120122212202111000
4131302330123231200
51011010230401330
622410353352000
72211551563515
oct356274335540
9101518782430
1031993215840
1112628377653
12624a568600
13302b305561
14179705930c
15c73aeb560
hex772f1bb60

31993215840 has 192 divisors, whose sum is σ = 114359454720. Its totient is φ = 8349949440.

The previous prime is 31993215827. The next prime is 31993215847. The reversal of 31993215840 is 4851239913.

It is a happy number.

31993215840 is a `hidden beast` number, since 31 + 9 + 9 + 32 + 1 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31993215847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124255 + ... + 281825.

It is an arithmetic number, because the mean of its divisors is an integer number (595622160).

Almost surely, 231993215840 is an apocalyptic number.

31993215840 is a gapful number since it is divisible by the number (30) 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 31993215840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57179727360).

31993215840 is an abundant number, since it is smaller than the sum of its proper divisors (82366238880).

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

31993215840 is a wasteful number, since it uses less digits than its factorization.

31993215840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157642 (or 157628 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 31993215840 in words is "thirty-one billion, nine hundred ninety-three million, two hundred fifteen thousand, eight hundred forty".