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627671207342461 = 41269431503262513
BaseRepresentation
bin1000111010110111010001011…
…1010110010111000101111101
310001022101210002122100111121111
42032231310113112113011331
51124232231113034424321
610102540101051002021
7246131514434655652
oct21655642726270575
93038353078314544
10627671207342461
11171aa4956210177
125a492a75439311
1320c301aa686339
14b0dd63ca9dc29
154c8727dbbc5e1
hex23add1759717d

627671207342461 has 32 divisors (see below), whose sum is σ = 648156390497280. Its totient is φ = 607457808230400.

The previous prime is 627671207342453. The next prime is 627671207342497. The reversal of 627671207342461 is 164243702176726.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 627671207342461 - 23 = 627671207342453 is a prime.

It is a super-2 number, since 2×6276712073424612 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 627671207342396 and 627671207342405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (627671207343461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2390878741 + ... + 2391141253.

It is an arithmetic number, because the mean of its divisors is an integer number (20254887203040).

Almost surely, 2627671207342461 is an apocalyptic number.

It is an amenable number.

627671207342461 is a deficient number, since it is larger than the sum of its proper divisors (20485183154819).

627671207342461 is a wasteful number, since it uses less digits than its factorization.

627671207342461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263757.

The product of its (nonzero) digits is 28449792, while the sum is 58.

The spelling of 627671207342461 in words is "six hundred twenty-seven trillion, six hundred seventy-one billion, two hundred seven million, three hundred forty-two thousand, four hundred sixty-one".

Divisors: 1 41 269 431 503 11029 17671 20623 115939 135307 216793 262513 4753499 5547587 8888513 10763033 58317317 70615997 113143103 132044039 2391009997 2895255877 4638867223 5413805599 30435494707 35519846491 56910980809 1247855282987 1456313706131 2333350213169 15309053837621 627671207342461