Search a number
-
+
31880457616 = 247240663849
BaseRepresentation
bin11101101100001110…
…010010110110010000
310001021210201001021111
4131230032102312100
51010242344120431
622351244503104
72206012263400
oct355416226620
9101253631244
1031880457616
111257a761737
12621884aa94
133010b45907
1417860a6800
15c68c767b1
hex76c392d90

31880457616 has 30 divisors (see below), whose sum is σ = 71853022950. Its totient is φ = 13663052928.

The previous prime is 31880457607. The next prime is 31880457643. The reversal of 31880457616 is 61675408813.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 30919705600 + 960752016 = 175840^2 + 30996^2 .

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 31880457616.

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 5 ways as a sum of consecutive naturals, for example, 20331141 + ... + 20332708.

It is an arithmetic number, because the mean of its divisors is an integer number (2395100765).

Almost surely, 231880457616 is an apocalyptic number.

It is an amenable number.

31880457616 is an abundant number, since it is smaller than the sum of its proper divisors (39972565334).

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

31880457616 is a wasteful number, since it uses less digits than its factorization.

31880457616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40663871 (or 40663858 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

The spelling of 31880457616 in words is "thirty-one billion, eight hundred eighty million, four hundred fifty-seven thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 40663849 81327698 162655396 284646943 325310792 569293886 650621584 1138587772 1992528601 2277175544 3985057202 4554351088 7970114404 15940228808 31880457616