Search a number
-
+
7691401144 = 2376710391973
BaseRepresentation
bin1110010100111000…
…10111011110111000
3201212000201122212001
413022130113132320
5111222444314034
63311113230344
7361412555020
oct71234273670
921760648761
107691401144
113297660579
1215a7a023b4
1395762444b
1452d6d6a80
1530038da14
hex1ca7177b8

7691401144 has 64 divisors (see below), whose sum is σ = 16752153600. Its totient is φ = 3242346624.

The previous prime is 7691401139. The next prime is 7691401147. The reversal of 7691401144 is 4411041967.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7691401147) 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, 3897342 + ... + 3899314.

It is an arithmetic number, because the mean of its divisors is an integer number (261752400).

Almost surely, 27691401144 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 7691401144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8376076800).

7691401144 is an abundant number, since it is smaller than the sum of its proper divisors (9060752456).

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

7691401144 is a wasteful number, since it uses less digits than its factorization.

7691401144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3092 (or 3088 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 7691401144 is about 87700.6336579161. The cubic root of 7691401144 is about 1973.9454836549.

The spelling of 7691401144 in words is "seven billion, six hundred ninety-one million, four hundred one thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 67 134 268 469 536 938 1039 1876 1973 2078 3752 3946 4156 7273 7892 8312 13811 14546 15784 27622 29092 55244 58184 69613 110488 132191 139226 264382 278452 487291 528764 556904 925337 974582 1057528 1850674 1949164 2049947 3701348 3898328 4099894 7402696 8199788 14349629 16399576 28699258 57398516 114797032 137346449 274692898 549385796 961425143 1098771592 1922850286 3845700572 7691401144