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643762313104 = 242005872
BaseRepresentation
bin10010101111000110011…
…10010101011110010000
32021112122220100220022111
421113203032111132100
541021411123004404
61211423524315104
764340013242461
oct11274316253620
92245586326274
10643762313104
11229022052109
12a4922842a94
1348925310431
14232303b2d68
1511b2bcc9104
hex95e3395790

643762313104 has 15 divisors (see below), whose sum is σ = 1247295699867. Its totient is φ = 321879551856.

The previous prime is 643762313063. The next prime is 643762313141. The reversal of 643762313104 is 401313267346.

The square root of 643762313104 is 802348.

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

643762313104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6437623131042 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 3109099 + ... + 3309685.

Almost surely, 2643762313104 is an apocalyptic number.

643762313104 is the 802348-th square number.

It is an amenable number.

643762313104 is a deficient number, since it is larger than the sum of its proper divisors (603533386763).

643762313104 is an frugal number, since it uses more digits than its factorization.

643762313104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401182 (or 200589 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 40.

The spelling of 643762313104 in words is "six hundred forty-three billion, seven hundred sixty-two million, three hundred thirteen thousand, one hundred four".

Divisors: 1 2 4 8 16 200587 401174 802348 1604696 3209392 40235144569 80470289138 160940578276 321881156552 643762313104