Search a number
-
+
687632343696 = 243219236372
BaseRepresentation
bin10100000000110100001…
…01001110001010010000
32102201220021120100202100
422000122011032022100
542231232334444241
61243521031320400
7100452112324344
oct12003205161220
92381807510670
10687632343696
11245694593441
12b1326820100
134cac70a980c
14253d2941624
1512d484119b6
hexa01a14e290

687632343696 has 135 divisors (see below), whose sum is σ = 2031589925001. Its totient is φ = 217087350912.

The previous prime is 687632343653. The next prime is 687632343721. The reversal of 687632343696 is 696343236786.

The square root of 687632343696 is 829236.

It is a perfect power (a square), and thus also a powerful number.

687632343696 is a `hidden beast` number, since 6 + 87 + 6 + 32 + 3 + 436 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18403635600 + 669228708096 = 135660^2 + 818064^2 .

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 26 ways as a sum of consecutive naturals, for example, 189063990 + ... + 189067626.

Almost surely, 2687632343696 is an apocalyptic number.

687632343696 is the 829236-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 687632343696

687632343696 is an abundant number, since it is smaller than the sum of its proper divisors (1343957581305).

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

687632343696 is an equidigital number, since it uses as much as digits as its factorization.

687632343696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7326 (or 3661 counting only the distinct ones).

The product of its digits is 141087744, while the sum is 63.

The spelling of 687632343696 in words is "six hundred eighty-seven billion, six hundred thirty-two million, three hundred forty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 361 456 684 722 912 1083 1368 1444 2166 2736 2888 3249 3637 4332 5776 6498 7274 8664 10911 12996 14548 17328 21822 25992 29096 32733 43644 51984 58192 65466 69103 87288 130932 138206 174576 207309 261864 276412 414618 523728 552824 621927 829236 1105648 1243854 1312957 1658472 2487708 2625914 3316944 3938871 4975416 5251828 7877742 9950832 10503656 11816613 13227769 15755484 21007312 23633226 26455538 31510968 39683307 47266452 52911076 63021936 79366614 94532904 105822152 119049921 158733228 189065808 211644304 238099842 251327611 317466456 476199684 502655222 634932912 753982833 952399368 1005310444 1507965666 1904798736 2010620888 2261948499 3015931332 4021241776 4523896998 4775224609 6031862664 9047793996 9550449218 12063725328 14325673827 18095587992 19100898436 28651347654 36191175984 38201796872 42977021481 57302695308 76403593744 85954042962 114605390616 171908085924 229210781232 343816171848 687632343696