Search a number
-
+
7026561168 = 2431161921499
BaseRepresentation
bin1101000101101000…
…01101000010010000
3200010200201021212020
412202310031002100
5103342244424133
63121123331440
7336060533034
oct64264150220
920120637766
107026561168
112a86346450
121441220b80
1387c975903
144a92b21c4
152b1d140b3
hex1a2d0d090

7026561168 has 80 divisors (see below), whose sum is σ = 19835040000. Its totient is φ = 2125722240.

The previous prime is 7026561161. The next prime is 7026561169. The reversal of 7026561168 is 8611656207.

It is not an unprimeable number, because it can be changed into a prime (7026561161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 316083 + ... + 337581.

It is an arithmetic number, because the mean of its divisors is an integer number (247938000).

Almost surely, 27026561168 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 7026561168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9917520000).

7026561168 is an abundant number, since it is smaller than the sum of its proper divisors (12808478832).

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

7026561168 is a wasteful number, since it uses less digits than its factorization.

7026561168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22140 (or 22134 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 7026561168 is about 83824.5857013323. The cubic root of 7026561168 is about 1915.3476378518.

The spelling of 7026561168 in words is "seven billion, twenty-six million, five hundred sixty-one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 619 1238 1857 2476 3714 4952 6809 7428 9904 13618 14856 20427 21499 27236 29712 40854 42998 54472 64497 81708 85996 108944 128994 163416 171992 236489 257988 326832 343984 472978 515976 709467 945956 1031952 1418934 1891912 2837868 3783824 5675736 11351472 13307881 26615762 39923643 53231524 79847286 106463048 146386691 159694572 212926096 292773382 319389144 439160073 585546764 638778288 878320146 1171093528 1756640292 2342187056 3513280584 7026561168