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668641824 = 25331745523
BaseRepresentation
bin100111110110101…
…010101000100000
31201121011112011000
4213312222220200
52332133014244
6150203152000
722366235034
oct4766525040
91647145130
10668641824
11313481554
12167b15600
13a86b0166
1464b341c4
153da7b169
hex27daaa20

668641824 has 96 divisors (see below), whose sum is σ = 2064968640. Its totient is φ = 209765376.

The previous prime is 668641819. The next prime is 668641849. The reversal of 668641824 is 428146866.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 668641824.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8074 + ... + 37449.

It is an arithmetic number, because the mean of its divisors is an integer number (21510090).

Almost surely, 2668641824 is an apocalyptic number.

It is an amenable number.

668641824 is an abundant number, since it is smaller than the sum of its proper divisors (1396326816).

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

668641824 is a wasteful number, since it uses less digits than its factorization.

668641824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45559 (or 45545 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 668641824 is about 25858.1094436542. The cubic root of 668641824 is about 874.4423435533.

The spelling of 668641824 in words is "six hundred sixty-eight million, six hundred forty-one thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 272 288 306 408 432 459 544 612 816 864 918 1224 1632 1836 2448 3672 4896 7344 14688 45523 91046 136569 182092 273138 364184 409707 546276 728368 773891 819414 1092552 1229121 1456736 1547782 1638828 2185104 2321673 2458242 3095564 3277656 4370208 4643346 4916484 6191128 6555312 6965019 9286692 9832968 12382256 13110624 13930038 18573384 19665936 20895057 24764512 27860076 37146768 39331872 41790114 55720152 74293536 83580228 111440304 167160456 222880608 334320912 668641824