Search a number
-
+
6440460464 = 247916992999
BaseRepresentation
bin1011111111110000…
…11010000010110000
3121121211212021211202
411333320122002300
5101142224213324
62543025230332
7315413003444
oct57770320260
917554767752
106440460464
1128055212a9
1212b8a923a8
137b8405669
14451506824
1527a63e8ae
hex17fe1a0b0

6440460464 has 40 divisors (see below), whose sum is σ = 12648000000. Its totient is φ = 3176536896.

The previous prime is 6440460451. The next prime is 6440460469. The reversal of 6440460464 is 4640640446.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (6440460469) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2146037 + ... + 2149035.

It is an arithmetic number, because the mean of its divisors is an integer number (316200000).

Almost surely, 26440460464 is an apocalyptic number.

It is an amenable number.

6440460464 is a deficient number, since it is larger than the sum of its proper divisors (6207539536).

6440460464 is a wasteful number, since it uses less digits than its factorization.

6440460464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4785 (or 4779 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 38.

The square root of 6440460464 is about 80252.4794881753. The cubic root of 6440460464 is about 1860.5398348277.

The spelling of 6440460464 in words is "six billion, four hundred forty million, four hundred sixty thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 79 158 316 632 1264 1699 2999 3398 5998 6796 11996 13592 23992 27184 47984 134221 236921 268442 473842 536884 947684 1073768 1895368 2147536 3790736 5095301 10190602 20381204 40762408 81524816 402528779 805057558 1610115116 3220230232 6440460464