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671324590336 = 2841212492
BaseRepresentation
bin10011100010011100001…
…00000101000100000000
32101011210202122122201011
421301032010011010000
541444333043342321
61232222515450304
766334022603041
oct11611604050400
92334722578634
10671324590336
11239786258a24
12aa1352b6994
134b3c863c70a
14246c6b7c8c8
15126e18c9ae1
hex9c4e105100

671324590336 has 81 divisors (see below), whose sum is σ = 1374608126703. Its totient is φ = 327213219840.

The previous prime is 671324590319. The next prime is 671324590337. The reversal of 671324590336 is 633095423176.

The square root of 671324590336 is 819344.

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

It can be written as a sum of positive squares in 4 ways, for example, as 249344430336 + 421980160000 = 499344^2 + 649600^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 671324590336.

It is not an unprimeable number, because it can be changed into a prime (671324590337) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 537489040 + ... + 537490288.

Almost surely, 2671324590336 is an apocalyptic number.

671324590336 is the 819344-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 671324590336

671324590336 is an abundant number, since it is smaller than the sum of its proper divisors (703283536367).

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

671324590336 is an frugal number, since it uses more digits than its factorization.

671324590336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2596 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 49.

Multiplying 671324590336 by its sum of digits (49), we get a square (32894904926464 = 57354082).

The spelling of 671324590336 in words is "six hundred seventy-one billion, three hundred twenty-four million, five hundred ninety thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 656 1249 1312 1681 2498 2624 3362 4996 5248 6724 9992 10496 13448 19984 26896 39968 51209 53792 79936 102418 107584 159872 204836 215168 319744 409672 430336 819344 1560001 1638688 2099569 3120002 3277376 4199138 6240004 6554752 8398276 12480008 13109504 16796552 24960016 33593104 49920032 63960041 67186208 99840064 127920082 134372416 199680128 255840164 268744832 399360256 511680328 537489664 1023360656 2046721312 2622361681 4093442624 5244723362 8186885248 10489446724 16373770496 20978893448 41957786896 83915573792 167831147584 335662295168 671324590336