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690421070336 = 293760372
BaseRepresentation
bin10100000110000000100…
…11010111101000000000
32110000002122001100112012
422003000103113220000
542302440243222321
61245101451352052
7100611164160614
oct12030023275000
92400078040465
10690421070336
11246895770aa8
12b1984752628
135014ca8a71a
14255b906d344
1512e5d17105b
hexa0c04d7a00

690421070336 has 60 divisors (see below), whose sum is σ = 1417011995718. Its totient is φ = 335824883712.

The previous prime is 690421070293. The next prime is 690421070357. The reversal of 690421070336 is 633070124096.

It can be written as a sum of positive squares in 3 ways, for example, as 536644153600 + 153776916736 = 732560^2 + 392144^2 .

It is a junction number, because it is equal to n+sod(n) for n = 690421070293 and 690421070302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 114361910 + ... + 114367946.

Almost surely, 2690421070336 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 690421070336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708505997859).

690421070336 is an abundant number, since it is smaller than the sum of its proper divisors (726590925382).

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

690421070336 is an frugal number, since it uses more digits than its factorization.

690421070336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12129 (or 6076 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 41.

The spelling of 690421070336 in words is "six hundred ninety billion, four hundred twenty-one million, seventy thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 512 592 1184 2368 4736 6037 9472 12074 18944 24148 48296 96592 193184 223369 386368 446738 772736 893476 1545472 1786952 3090944 3573904 7147808 14295616 28591232 36445369 57182464 72890738 114364928 145781476 291562952 583125904 1166251808 1348478653 2332503616 2696957306 4665007232 5393914612 9330014464 10787829224 18660028928 21575658448 43151316896 86302633792 172605267584 345210535168 690421070336