Search a number
-
+
31393479168 = 29326812821
BaseRepresentation
bin11101001111001100…
…100111101000000000
310000000212100222102200
4131033030213220000
51003243212313133
622231051113200
72160650112222
oct351714475000
9100025328380
1031393479168
111234a889607
126101742800
132c63c9c79c
14173b540412
15c3b131913
hex74f327a00

31393479168 has 60 divisors (see below), whose sum is σ = 90603719778. Its totient is φ = 10464491520.

The previous prime is 31393479157. The next prime is 31393479179. The reversal of 31393479168 is 86197439313.

It is a happy number.

31393479168 is a `hidden beast` number, since 3 + 1 + 3 + 9 + 3 + 479 + 168 = 666.

It is an interprime number because it is at equal distance from previous prime (31393479157) and next prime (31393479179).

It can be written as a sum of positive squares in only one way, i.e., 31184734464 + 208744704 = 176592^2 + 14448^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3401803 + ... + 3411018.

Almost surely, 231393479168 is an apocalyptic number.

It is an amenable number.

31393479168 is an abundant number, since it is smaller than the sum of its proper divisors (59210240610).

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

31393479168 is an equidigital number, since it uses as much as digits as its factorization.

31393479168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6812845 (or 6812826 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The spelling of 31393479168 in words is "thirty-one billion, three hundred ninety-three million, four hundred seventy-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 6812821 13625642 20438463 27251284 40876926 54502568 61315389 81753852 109005136 122630778 163507704 218010272 245261556 327015408 436020544 490523112 654030816 872041088 981046224 1308061632 1744082176 1962092448 2616123264 3488164352 3924184896 5232246528 7848369792 10464493056 15696739584 31393479168