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74159706229609 = 7411213212292
BaseRepresentation
bin10000110111001010100110…
…111100100100101101101001
3100201120121011102202112111211
4100313022212330210231221
534210013034243321414
6421420255420153121
721422601440140000
oct2067124674445551
9321517142675454
1074159706229609
11216a1a55910900
1283987936987a1
13324c2cbc42900
1414454c5687c37
158890e67603c4
hex4372a6f24b69

74159706229609 has 135 divisors (see below), whose sum is σ = 103055961873669. Its totient is φ = 53298244359360.

The previous prime is 74159706229601. The next prime is 74159706229621. The reversal of 74159706229609 is 90692260795147.

The square root of 74159706229609 is 8611603.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5688582755625 + 68471123473984 = 2385075^2 + 8274728^2 .

It is not a de Polignac number, because 74159706229609 - 23 = 74159706229601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (74159706229601) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 60341501607 + ... + 60341502835.

Almost surely, 274159706229609 is an apocalyptic number.

74159706229609 is the 8611603-rd square number.

74159706229609 is the 4305802-nd centered octagonal number.

It is an amenable number.

74159706229609 is a deficient number, since it is larger than the sum of its proper divisors (28896255644060).

74159706229609 is an frugal number, since it uses more digits than its factorization.

74159706229609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2534 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 102876480, while the sum is 67.

The spelling of 74159706229609 in words is "seventy-four trillion, one hundred fifty-nine billion, seven hundred six million, two hundred twenty-nine thousand, six hundred nine".

Divisors: 1 7 11 13 49 77 91 121 143 169 343 539 637 847 1001 1183 1229 1573 1859 2401 3773 4459 5929 7007 8281 8603 11011 13013 13519 15977 20449 26411 31213 41503 49049 57967 60221 77077 91091 94633 111839 143143 148709 175747 207701 290521 343343 405769 421547 539539 637637 662431 782873 1002001 1040963 1230229 1453907 1510441 1933217 2284711 2950829 3776773 4463459 4637017 5480111 7014007 7286741 8611603 10177349 10573087 13532519 15992977 16614851 19635733 25131821 32459119 38360777 49098049 51007187 60281221 71241443 74011609 94727633 111950839 116303957 137450131 175922747 182763361 215993063 255264529 357050309 421968547 498690101 518081263 663093431 783655873 814127699 962150917 1231459229 1279343527 1511951441 1786851703 2375923693 2807909819 3626568841 4641654017 5485591111 5698893893 6735056419 8620214603 8955404689 10583660087 12507961921 16631465851 19655368733 30887008009 39892257251 47145394933 60341502221 62687832823 74085620609 87555733447 116420260957 137587581131 216209056063 438814829761 518599344263 612890134129 814941826699 963113067917 1513463392441 5704592786893 6741791475419 10594243747087 74159706229609