Search a number
-
+
31708730880 = 293354167167
BaseRepresentation
bin11101100001111111…
…001101011000000000
310000211211120102111000
4131201333031120000
51004414413342010
622322232052000
72201525523351
oct354177153000
9100754512430
1031708730880
11124a182a912
12618b234000
132cb43aa668
14176b363d28
15c58b547c0
hex761fcd600

31708730880 has 640 divisors, whose sum is σ = 117802460160. Its totient is φ = 8077639680.

The previous prime is 31708730863. The next prime is 31708730881. The reversal of 31708730880 is 8803780713.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×317087308802 (a number of 22 digits) contains 22 as substring.

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 (31708730881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 189872557 + ... + 189872723.

It is an arithmetic number, because the mean of its divisors is an integer number (184066344).

Almost surely, 231708730880 is an apocalyptic number.

31708730880 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 31708730880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58901230080).

31708730880 is an abundant number, since it is smaller than the sum of its proper divisors (86093729280).

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

31708730880 is a wasteful number, since it uses less digits than its factorization.

31708730880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 31708730880 in words is "thirty-one billion, seven hundred eight million, seven hundred thirty thousand, eight hundred eighty".