Search a number
-
+
2125627056 = 243372100417
BaseRepresentation
bin111111010110010…
…0111111010110000
312111010202001011000
41332230213322300
513323130031211
6550531322000
7103450350300
oct17654477260
95433661130
102125627056
119a0952083
124b3a50300
1327b4c15b7
1416243b600
15c692a656
hex7eb27eb0

2125627056 has 120 divisors (see below), whose sum is σ = 7097544240. Its totient is φ = 607315968.

The previous prime is 2125627027. The next prime is 2125627073. The reversal of 2125627056 is 6507265212.

2125627056 is a `hidden beast` number, since 2 + 1 + 25 + 627 + 0 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2125627056.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 29041 + ... + 71376.

It is an arithmetic number, because the mean of its divisors is an integer number (59146202).

Almost surely, 22125627056 is an apocalyptic number.

It is an amenable number.

2125627056 is an abundant number, since it is smaller than the sum of its proper divisors (4971917184).

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

2125627056 is a wasteful number, since it uses less digits than its factorization.

2125627056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100448 (or 100429 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2125627056 is about 46104.5231620499. The cubic root of 2125627056 is about 1285.7672407395.

The spelling of 2125627056 in words is "two billion, one hundred twenty-five million, six hundred twenty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 378 392 432 441 504 588 756 784 882 1008 1176 1323 1512 1764 2352 2646 3024 3528 5292 7056 10584 21168 100417 200834 301251 401668 602502 702919 803336 903753 1205004 1405838 1606672 1807506 2108757 2410008 2711259 2811676 3615012 4217514 4820016 4920433 5422518 5623352 6326271 7230024 8435028 9840866 10845036 11246704 12652542 14460048 14761299 16870056 18978813 19681732 21690072 25305084 29522598 33740112 37957626 39363464 43380144 44283897 50610168 59045196 75915252 78726928 88567794 101220336 118090392 132851691 151830504 177135588 236180784 265703382 303661008 354271176 531406764 708542352 1062813528 2125627056