Search a number
-
+
31194854592 = 26311314111621
BaseRepresentation
bin11101000011010110…
…111011010011000000
32222112000121210201220
4131003112323103000
51002341340321332
622155233555040
72153015613636
oct350326732300
988460553656
1031194854592
1112258755a70
126067115a80
132c31aa7555
14171cdd9356
15c28999d2c
hex7435bb4c0

31194854592 has 224 divisors, whose sum is σ = 95219324928. Its totient is φ = 8924160000.

The previous prime is 31194854573. The next prime is 31194854651. The reversal of 31194854592 is 29545849113.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2678542 + ... + 2690162.

It is an arithmetic number, because the mean of its divisors is an integer number (425086272).

Almost surely, 231194854592 is an apocalyptic number.

31194854592 is a gapful number since it is divisible by the number (32) 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 31194854592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47609662464).

31194854592 is an abundant number, since it is smaller than the sum of its proper divisors (64024470336).

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

31194854592 is a wasteful number, since it uses less digits than its factorization.

31194854592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11719 (or 11709 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 51.

The spelling of 31194854592 in words is "thirty-one billion, one hundred ninety-four million, eight hundred fifty-four thousand, five hundred ninety-two".