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117392262622441 = 232672792892
BaseRepresentation
bin11010101100010010000100…
…000111001110110011101001
3120101122120221121211121211221
4122230102010013032303221
5110341323323212404231
61053401132210422041
733504211463204032
oct3254220407166351
9511576847747757
10117392262622441
113444a862927624
12111bb4a7291921
135067073236ab1
1420dbb5c8b5a89
15d889973d8d11
hex6ac4841cece9

117392262622441 has 81 divisors (see below), whose sum is σ = 127607641508151. Its totient is φ = 107985048545088.

The previous prime is 117392262622421. The next prime is 117392262622499. The reversal of 117392262622441 is 144226262293711.

The square root of 117392262622441 is 10834771.

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., 22541804248041 + 94850458374400 = 4747821^2 + 9739120^2 .

It is not a de Polignac number, because 117392262622441 - 217 = 117392262491369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (117392262622421) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1319014186725 + ... + 1319014186813.

Almost surely, 2117392262622441 is an apocalyptic number.

117392262622441 is the 10834771-st square number.

117392262622441 is the 5417386-th centered octagonal number.

It is an amenable number.

117392262622441 is a deficient number, since it is larger than the sum of its proper divisors (10215378885710).

117392262622441 is an frugal number, since it uses more digits than its factorization.

117392262622441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 258 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 52.

The spelling of 117392262622441 in words is "one hundred seventeen trillion, three hundred ninety-two billion, two hundred sixty-two million, six hundred twenty-two thousand, four hundred forty-one".

Divisors: 1 23 67 79 89 529 1541 1817 2047 4489 5293 5963 6241 7031 7921 35443 41791 47081 103247 121739 137149 143543 161713 182183 354631 399521 418147 471077 530707 555449 625759 2374681 2799997 3154427 3301489 3719399 4190209 8156513 9188983 9617381 10834771 12206261 12775327 14392457 28015849 31562159 35557369 37215083 41925853 49434961 187599799 211346609 221199763 249199733 280744003 293832521 331026511 644364527 725929657 817819487 855946909 964294619 1137004103 2493410561 2809032151 3312142387 14820384121 16696382111 18809848201 19686778907 22178776237 26151094369 57348442903 64607739473 76179274901 221913539929 1319014186769 1485978007879 1752123322723 5104011418367 117392262622441