Search a number
-
+
31745315168 = 257493328729
BaseRepresentation
bin11101100100001010…
…110001000101100000
310000221101102002200122
4131210022301011200
51010003300041133
622330020135412
72202451504160
oct354412610540
9100841362618
1031745315168
1112510448166
12619b537568
132cbbb49578
1417721685a0
15c5be7e498
hex7642b1160

31745315168 has 48 divisors (see below), whose sum is σ = 71443925280. Its totient is φ = 13601903616.

The previous prime is 31745315153. The next prime is 31745315201. The reversal of 31745315168 is 86151354713.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1090628 + ... + 1119356.

It is an arithmetic number, because the mean of its divisors is an integer number (1488415110).

Almost surely, 231745315168 is an apocalyptic number.

It is an amenable number.

31745315168 is an abundant number, since it is smaller than the sum of its proper divisors (39698610112).

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

31745315168 is a wasteful number, since it uses less digits than its factorization.

31745315168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33679 (or 33671 counting only the distinct ones).

The product of its digits is 302400, while the sum is 44.

The spelling of 31745315168 in words is "thirty-one billion, seven hundred forty-five million, three hundred fifteen thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 4933 9866 19732 28729 34531 39464 57458 69062 78928 114916 138124 157856 201103 229832 276248 402206 459664 552496 804412 919328 1104992 1608824 3217648 6435296 141720157 283440314 566880628 992041099 1133761256 1984082198 2267522512 3968164396 4535045024 7936328792 15872657584 31745315168