Search a number
-
+
10731454464 = 216354583
BaseRepresentation
bin10011111111010010…
…10000000000000000
31000200220010101000110
421333221100000000
5133434223020324
64532512151320
7526635600153
oct117751200000
930626111013
1010731454464
114607698635
1220b5b38540
1310203c0873
1473b367c9a
1542c1e5329
hex27fa50000

10731454464 has 68 divisors (see below), whose sum is σ = 28617517856. Its totient is φ = 3577085952.

The previous prime is 10731454457. The next prime is 10731454477. The reversal of 10731454464 is 46445413701.

It is a super-2 number, since 2×107314544642 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 169317 + ... + 223899.

Almost surely, 210731454464 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 10731454464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14308758928).

10731454464 is an abundant number, since it is smaller than the sum of its proper divisors (17886063392).

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

10731454464 is an frugal number, since it uses more digits than its factorization.

10731454464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54618 (or 54588 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 10731454464 in words is "ten billion, seven hundred thirty-one million, four hundred fifty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 8192 12288 16384 24576 32768 49152 54583 65536 98304 109166 163749 196608 218332 327498 436664 654996 873328 1309992 1746656 2619984 3493312 5239968 6986624 10479936 13973248 20959872 27946496 41919744 55892992 83839488 111785984 167678976 223571968 335357952 447143936 670715904 894287872 1341431808 1788575744 2682863616 3577151488 5365727232 10731454464