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701061242436 = 223253226332
BaseRepresentation
bin10100011001110101000…
…00011001111001000100
32111000120011102002200100
422030322200121321010
542441233134224221
61254021343244100
7101435644144542
oct12147240317104
92430504362610
10701061242436
11250355881865
12b3a53ba9630
135115729a749
1425d08234d92
1513382334926
hexa33a819e44

701061242436 has 81 divisors (see below), whose sum is σ = 1806880507159. Its totient is φ = 229190812032.

The previous prime is 701061242377. The next prime is 701061242443. The reversal of 701061242436 is 634242160107.

The square root of 701061242436 is 837294.

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

701061242436 is a `hidden beast` number, since 7 + 0 + 1 + 0 + 612 + 4 + 2 + 4 + 36 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13687596036 + 687373646400 = 116994^2 + 829080^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 701061242436.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 266258176 + ... + 266260808.

Almost surely, 2701061242436 is an apocalyptic number.

701061242436 is the 837294-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 701061242436

701061242436 is an abundant number, since it is smaller than the sum of its proper divisors (1105819264723).

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

701061242436 is an equidigital number, since it uses as much as digits as its factorization.

701061242436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5382 (or 2691 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Multiplying 701061242436 by its sum of digits (36), we get a square (25238204727696 = 50237642).

701061242436 divided by its sum of digits (36) gives a square (19473923401 = 1395492).

The spelling of 701061242436 in words is "seven hundred one billion, sixty-one million, two hundred forty-two thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 2633 2809 5266 5618 7899 8427 10532 11236 15798 16854 23697 25281 31596 33708 47394 50562 94788 101124 139549 279098 418647 558196 837294 1255941 1674588 2511882 5023764 6932689 7396097 13865378 14792194 20798067 22188291 27730756 29584388 41596134 44376582 62394201 66564873 83192268 88753164 124788402 133129746 249576804 266259492 367432517 734865034 1102297551 1469730068 2204595102 3306892653 4409190204 6613785306 13227570612 19473923401 38947846802 58421770203 77895693604 116843540406 175265310609 233687080812 350530621218 701061242436