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3723407681721 = 3713239117148733
BaseRepresentation
bin110110001011101100011…
…001000110100010111001
3111011221202200110002221220
4312023230121012202321
5442001014331303341
611530302044422253
7533002341044460
oct66135431064271
914157680402856
103723407681721
1112060a7627082
12501755847989
13210167659b90
14cc2dcccd9d7
1566cc37daa66
hex362ec6468b9

3723407681721 has 64 divisors (see below), whose sum is σ = 6141138984960. Its totient is φ = 1954067431680.

The previous prime is 3723407681701. The next prime is 3723407681723. The reversal of 3723407681721 is 1271867043273.

It is a happy number.

3723407681721 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3723407681721 - 25 = 3723407681689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3723407681723) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76379871 + ... + 76428603.

It is an arithmetic number, because the mean of its divisors is an integer number (95955296640).

Almost surely, 23723407681721 is an apocalyptic number.

It is an amenable number.

3723407681721 is a deficient number, since it is larger than the sum of its proper divisors (2417731303239).

3723407681721 is a wasteful number, since it uses less digits than its factorization.

3723407681721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50166.

The product of its (nonzero) digits is 2370816, while the sum is 51.

The spelling of 3723407681721 in words is "three trillion, seven hundred twenty-three billion, four hundred seven million, six hundred eighty-one thousand, seven hundred twenty-one".

Divisors: 1 3 7 13 21 39 91 239 273 717 1171 1673 3107 3513 5019 8197 9321 15223 21749 24591 45669 48733 65247 106561 146199 279869 319683 341131 633529 839607 1023393 1900587 1959083 3638297 4434703 5877249 10914891 11647187 13304109 25468079 34941561 57066343 76404237 81530309 151413431 171199029 244590927 399464401 454240293 741862459 1059894017 1198393203 2225587377 3179682051 5193037213 13638855977 15579111639 40916567931 95471991839 177305127701 286415975517 531915383103 1241135893907 3723407681721