Search a number
-
+
6769405104 = 24371110631723
BaseRepresentation
bin1100100110111110…
…01110110010110000
3122110202211102001120
412103133032302300
5102330431430404
63035415502240
7326515664640
oct62337166260
918422742046
106769405104
112964175280
12138b087980
1383b5c8c67
14483092520
152994699d9
hex1937cecb0

6769405104 has 160 divisors (see below), whose sum is σ = 21835935744. Its totient is φ = 1755613440.

The previous prime is 6769405091. The next prime is 6769405141. The reversal of 6769405104 is 4015049676.

It is a super-2 number, since 2×67694051042 = 91649690924122501632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3927987 + ... + 3929709.

Almost surely, 26769405104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6769405104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10917967872).

6769405104 is an abundant number, since it is smaller than the sum of its proper divisors (15066530640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6769405104 is a wasteful number, since it uses less digits than its factorization.

6769405104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2815 (or 2809 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 6769405104 is about 82276.3945734133. The cubic root of 6769405104 is about 1891.6908716972.

The spelling of 6769405104 in words is "six billion, seven hundred sixty-nine million, four hundred five thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1063 1232 1723 1848 2126 3189 3446 3696 4252 5169 6378 6892 7441 8504 10338 11693 12061 12756 13784 14882 17008 18953 20676 22323 23386 24122 25512 27568 29764 35079 36183 37906 41352 44646 46772 48244 51024 56859 59528 70158 72366 75812 81851 82704 89292 93544 96488 113718 119056 132671 140316 144732 151624 163702 178584 187088 192976 227436 245553 265342 280632 289464 303248 327404 357168 398013 454872 491106 530684 561264 578928 654808 796026 909744 982212 1061368 1309616 1592052 1831549 1964424 2122736 3184104 3663098 3928848 5494647 6368208 7326196 10989294 12820843 14652392 20147039 21978588 25641686 29304784 38462529 40294078 43957176 51283372 60441117 76925058 80588156 87914352 102566744 120882234 141029273 153850116 161176312 205133488 241764468 282058546 307700232 322352624 423087819 483528936 564117092 615400464 846175638 967057872 1128234184 1692351276 2256468368 3384702552 6769405104