Search a number
-
+
31331395680 = 2535134722273
BaseRepresentation
bin11101001011011111…
…110010100001100000
32222212112112210220020
4131023133302201200
51003131314130210
622220552313440
72156264316624
oct351337624140
988775483806
1031331395680
1112318835342
1260a49a2880
132c541733b0
1417331bd184
15c3596b770
hex74b7f2860

31331395680 has 288 divisors, whose sum is σ = 108643024224. Its totient is φ = 7544930304.

The previous prime is 31331395679. The next prime is 31331395691. The reversal of 31331395680 is 8659313313.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13783024 + ... + 13785296.

It is an arithmetic number, because the mean of its divisors is an integer number (377232723).

Almost surely, 231331395680 is an apocalyptic number.

31331395680 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 31331395680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54321512112).

31331395680 is an abundant number, since it is smaller than the sum of its proper divisors (77311628544).

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

31331395680 is a wasteful number, since it uses less digits than its factorization.

31331395680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2398 (or 2343 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The spelling of 31331395680 in words is "thirty-one billion, three hundred thirty-one million, three hundred ninety-five thousand, six hundred eighty".