Search a number
-
+
6929825268 = 2232933160161
BaseRepresentation
bin1100111010000110…
…01011110111110100
3122212221200121011010
412131003023313310
5103143013402033
63103350112220
7333504354132
oct63503136764
918787617133
106929825268
112a36784323
12141494b670
13865905a32
1449a4d0752
152a85a6863
hex19d0cbdf4

6929825268 has 48 divisors (see below), whose sum is σ = 16777978560. Its totient is φ = 2223513600.

The previous prime is 6929825263. The next prime is 6929825341. The reversal of 6929825268 is 8625289296.

It is a super-2 number, since 2×69298252682 = 96044956490022543648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6929825263) 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 15 ways as a sum of consecutive naturals, for example, 85108 + ... + 145268.

It is an arithmetic number, because the mean of its divisors is an integer number (349541220).

Almost surely, 26929825268 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 6929825268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8388989280).

6929825268 is an abundant number, since it is smaller than the sum of its proper divisors (9848153292).

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

6929825268 is a wasteful number, since it uses less digits than its factorization.

6929825268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60528 (or 60526 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 57.

The square root of 6929825268 is about 83245.5720624226. The cubic root of 6929825268 is about 1906.5173480117.

The spelling of 6929825268 in words is "six billion, nine hundred twenty-nine million, eight hundred twenty-five thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 331 348 662 993 1324 1986 3972 9599 19198 28797 38396 57594 60161 115188 120322 180483 240644 360966 721932 1744669 3489338 5234007 6978676 10468014 19913291 20936028 39826582 59739873 79653164 119479746 238959492 577485439 1154970878 1732456317 2309941756 3464912634 6929825268