Search a number
-
+
31380638784 = 26311113131489
BaseRepresentation
bin11101001110011011…
…101000110001000000
32222222222012121201220
4131032123220301000
51003231420420114
622225511555040
72160433012545
oct351633506100
988888177656
1031380638784
1112343609420
1260b938ba80
132c61425121
14173995abcc
15c39e470a9
hex74e6e8c40

31380638784 has 112 divisors (see below), whose sum is σ = 91378186560. Its totient is φ = 9425059840.

The previous prime is 31380638767. The next prime is 31380638789. The reversal of 31380638784 is 48783608313.

It is not an unprimeable number, because it can be changed into a prime (31380638789) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172912 + ... + 304400.

Almost surely, 231380638784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31380638784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45689093280).

31380638784 is an abundant number, since it is smaller than the sum of its proper divisors (59997547776).

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

31380638784 is a wasteful number, since it uses less digits than its factorization.

31380638784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131628 (or 131618 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 31380638784 in words is "thirty-one billion, three hundred eighty million, six hundred thirty-eight thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 113 132 176 192 226 264 339 352 452 528 678 704 904 1056 1243 1356 1808 2112 2486 2712 3616 3729 4972 5424 7232 7458 9944 10848 14916 19888 21696 29832 39776 59664 79552 119328 131489 238656 262978 394467 525956 788934 1051912 1446379 1577868 2103824 2892758 3155736 4207648 4339137 5785516 6311472 8415296 8678274 11571032 12622944 14858257 17356548 23142064 25245888 29716514 34713096 44574771 46284128 59433028 69426192 89149542 92568256 118866056 138852384 163440827 178299084 237732112 277704768 326881654 356598168 475464224 490322481 653763308 713196336 950928448 980644962 1307526616 1426392672 1961289924 2615053232 2852785344 3922579848 5230106464 7845159696 10460212928 15690319392 31380638784