Search a number
-
+
626426400566131 = 1123211328316132087
BaseRepresentation
bin1000111001101110110100001…
…1000101010110101101110011
310001010222210000220210022121121
42032123231003011112231303
51124101332232021104011
610100144152101403111
7245642546113646644
oct21633550305265563
93033883026708547
10626426400566131
11171664a43242920
125a311772109497
1320b6c9aa211339
14b0992b18436cb
154c64bc550ee71
hex239bb43156b73

626426400566131 has 96 divisors (see below), whose sum is σ = 724041723428352. Its totient is φ = 537399167585280.

The previous prime is 626426400566107. The next prime is 626426400566149. The reversal of 626426400566131 is 131665004624626.

It is not a de Polignac number, because 626426400566131 - 27 = 626426400566003 is a prime.

It is a super-2 number, since 2×6264264005661312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (626426400566231) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 300156395970 + ... + 300156398056.

It is an arithmetic number, because the mean of its divisors is an integer number (7542101285712).

Almost surely, 2626426400566131 is an apocalyptic number.

626426400566131 is a deficient number, since it is larger than the sum of its proper divisors (97615322862221).

626426400566131 is a wasteful number, since it uses less digits than its factorization.

626426400566131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4153 (or 4130 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 52.

The spelling of 626426400566131 in words is "six hundred twenty-six trillion, four hundred twenty-six billion, four hundred million, five hundred sixty-six thousand, one hundred thirty-one".

Divisors: 1 11 23 113 253 283 529 1243 1613 2087 2599 3113 5819 6509 17743 22957 28589 31979 37099 48001 59777 71599 149707 182269 235831 351769 408089 456479 528011 590621 657547 735517 853277 1104023 1646777 2004959 2594141 3366331 4192187 5021269 5424113 6496831 8090687 9386047 10499017 12144253 13584283 16916891 37029641 46114057 51582127 59665243 66740173 77425613 96420301 115489187 124754599 149427113 186085801 241477391 312438509 380395403 567403397 734141903 851681743 952671673 1060623311 1186388921 1372300589 1535023979 1780789099 2656251301 3436823599 4184349433 8749094269 10479388403 13050278131 16885263769 19588680089 21911448479 27286945183 35305551517 96240036959 107651899049 201229168187 241025933269 300156397013 388361066687 503963315017 1184170889539 2213520850057 2475993678127 5543596465187 27235930459397 56947854596921 626426400566131