Search a number
-
+
82804942132 = 2211137173271293
BaseRepresentation
bin100110100011110001…
…1110010010100110100
321220201211002220020121
41031013203302110310
52324041031122012
6102012353141324
75660661252313
oct1150743622464
9256654086217
1082804942132
113213225a680
121406b25a844
137a682a26a3
1440174c827a
152249882a07
hex13478f2534

82804942132 has 96 divisors (see below), whose sum is σ = 161296095744. Its totient is φ = 36884505600.

The previous prime is 82804942117. The next prime is 82804942139. The reversal of 82804942132 is 23124940828.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82804942139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 282610578 + ... + 282610870.

It is an arithmetic number, because the mean of its divisors is an integer number (1680167664).

Almost surely, 282804942132 is an apocalyptic number.

It is an amenable number.

82804942132 is a deficient number, since it is larger than the sum of its proper divisors (78491153612).

82804942132 is a wasteful number, since it uses less digits than its factorization.

82804942132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The spelling of 82804942132 in words is "eighty-two billion, eight hundred four million, nine hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 4 11 22 44 137 173 271 274 293 346 542 548 586 692 1084 1172 1507 1903 2981 3014 3223 3806 5962 6028 6446 7612 11924 12892 23701 37127 40141 46883 47402 50689 74254 79403 80282 93766 94804 101378 148508 158806 160564 187532 202756 260711 317612 408397 441551 515713 521422 557579 816794 873433 883102 1031426 1042844 1115158 1633588 1746866 1766204 2062852 2230316 3493732 6422971 6944393 10878211 12845942 13736719 13888786 21756422 25691884 27473438 27777572 43512844 54946876 70652681 76388323 119660321 141305362 151103909 152776646 239320642 282610724 302207818 305553292 478641284 604415636 1881930503 3763861006 7527722012 20701235533 41402471066 82804942132