Search a number
-
+
674009802361 = 7217268992
BaseRepresentation
bin10011100111011100001…
…11010110011001111001
32101102201220100120010101
421303232013112121321
542020333002133421
61233345201115401
766460406535400
oct11635607263171
92342656316111
10674009802361
1123a933a64515
12aa764628b61
134b735a4917c
142489d642637
15127ec4dd191
hex9cee1d6679

674009802361 has 27 divisors (see below), whose sum is σ = 833006664399. Its totient is φ = 543660186048.

The previous prime is 674009802353. The next prime is 674009802409. The reversal of 674009802361 is 163208900476.

The square root of 674009802361 is 820981.

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., 524748116025 + 149261686336 = 724395^2 + 386344^2 .

It is not a de Polignac number, because 674009802361 - 23 = 674009802353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (674009802341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 97693290 + ... + 97700188.

Almost surely, 2674009802361 is an apocalyptic number.

674009802361 is the 820981-st square number.

674009802361 is the 410491-st centered octagonal number.

It is an amenable number.

674009802361 is a deficient number, since it is larger than the sum of its proper divisors (158996862038).

674009802361 is an frugal number, since it uses more digits than its factorization.

674009802361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13846 (or 6923 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The spelling of 674009802361 in words is "six hundred seventy-four billion, nine million, eight hundred two thousand, three hundred sixty-one".

Divisors: 1 7 17 49 119 289 833 2023 6899 14161 48293 117283 338051 820981 1993811 5746867 13956677 47596201 97696739 333173407 809135417 2332213849 5663947919 13755302089 39647635433 96287114623 674009802361