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74023808556681 = 3231271213032
BaseRepresentation
bin10000110101001100000010…
…110100000101111010001001
3100201002121101111022110120100
4100311030002310011322021
534200301224442303211
6421234022421320013
721410020661030634
oct2065140264057211
9321077344273510
1074023808556681
112164a359151815
128376387866009
13323c55224c0a9
14143cab2c08c1b
158857e0c78156
hex435302d05e89

74023808556681 has 81 divisors (see below), whose sum is σ = 112147773603021. Its totient is φ = 47048522295600.

The previous prime is 74023808556637. The next prime is 74023808556707. The reversal of 74023808556681 is 18665580832047.

The square root of 74023808556681 is 8603709.

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

74023808556681 is a `hidden beast` number, since 7 + 40 + 2 + 38 + 0 + 8 + 556 + 6 + 8 + 1 = 666.

It is not a de Polignac number, because 74023808556681 - 27 = 74023808556553 is a prime.

It is a super-2 number, since 2×740238085566812 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (74023808551681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 56810289876 + ... + 56810291178.

Almost surely, 274023808556681 is an apocalyptic number.

74023808556681 is a gapful number since it is divisible by the number (71) formed by its first and last digit.

74023808556681 is the 8603709-th square number.

74023808556681 is the 4301855-th centered octagonal number.

It is an amenable number.

74023808556681 is a deficient number, since it is larger than the sum of its proper divisors (38123965046340).

74023808556681 is an frugal number, since it uses more digits than its factorization.

74023808556681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2816 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 74023808556681 in words is "seventy-four trillion, twenty-three billion, eight hundred eight million, five hundred fifty-six thousand, six hundred eighty-one".

Divisors: 1 3 9 31 71 93 213 279 639 961 1303 2201 2883 3909 5041 6603 8649 11727 15123 19809 40393 45369 68231 92513 121179 156271 204693 277539 363537 468813 614079 832617 1252183 1406439 1697809 2867903 3756549 4844401 5093427 6568423 8603709 11269647 14533203 15280281 19705269 25811127 43599609 52632079 59115807 88904993 120544439 157896237 203621113 266714979 361633317 473688711 610863339 800144937 1084899951 1631594449 1832590017 3736877609 4894783347 6312254503 8558655169 11210632827 14684350041 18936763509 25675965507 33631898481 56810290527 77027896521 115843205879 265318310239 347529617637 795954930717 1042588852911 2387864792151 8224867617409 24674602852227 74023808556681