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79935687441 = 3273212912
BaseRepresentation
bin100101001110010001…
…0011100101100010001
321122022212002122202100
41022130202130230101
52302202013444231
6100415535111013
75526611063301
oct1123442345421
9248285078670
1079935687441
113099a680105
12135aa372469
1376cba07c4c
143c243d7601
15212ca181e6
hex129c89cb11

79935687441 has 27 divisors (see below), whose sum is σ = 117156755547. Its totient is φ = 52519739040.

The previous prime is 79935687439. The next prime is 79935687451. The reversal of 79935687441 is 14478653997.

The square root of 79935687441 is 282729.

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

It can be written as a sum of positive squares in only one way, i.e., 45375390225 + 34560297216 = 213015^2 + 185904^2 .

It is not a de Polignac number, because 79935687441 - 21 = 79935687439 is a prime.

It is not an unprimeable number, because it can be changed into a prime (79935687431) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 61917006 + ... + 61918296.

Almost surely, 279935687441 is an apocalyptic number.

79935687441 is the 282729-th square number.

79935687441 is the 141365-th centered octagonal number.

It is an amenable number.

79935687441 is a deficient number, since it is larger than the sum of its proper divisors (37221068106).

79935687441 is an frugal number, since it uses more digits than its factorization.

79935687441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2734 (or 1367 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 63.

It can be divided in two parts, 79935 and 687441, that added together give a square (767376 = 8762).

The spelling of 79935687441 in words is "seventy-nine billion, nine hundred thirty-five million, six hundred eighty-seven thousand, four hundred forty-one".

Divisors: 1 3 9 73 219 657 1291 3873 5329 11619 15987 47961 94243 282729 848187 1666681 5000043 6879739 15000129 20639217 61917651 121667713 365003139 1095009417 8881743049 26645229147 79935687441