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19956082756 = 22232372832
BaseRepresentation
bin10010100101011110…
…011010100001000100
31220111202220001010011
4102211132122201010
5311332224122011
613100120040004
71304346622201
oct224536324104
956452801104
1019956082756
118510763385
123a4b303004
131b6056c0bc
14d74532ca8
157bbe93621
hex4a579a844

19956082756 has 81 divisors (see below), whose sum is σ = 37978423581. Its totient is φ = 9174379104.

The previous prime is 19956082711. The next prime is 19956082759. The reversal of 19956082756 is 65728065991.

The square root of 19956082756 is 141266.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 17856976900 + 2099105856 = 133630^2 + 45816^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 19956082756.

It is not an unprimeable number, because it can be changed into a prime (19956082759) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 240434691 + ... + 240434773.

Almost surely, 219956082756 is an apocalyptic number.

19956082756 is the 141266-th square number.

It is an amenable number.

19956082756 is a deficient number, since it is larger than the sum of its proper divisors (18022340825).

19956082756 is an equidigital number, since it uses as much as digits as its factorization.

19956082756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 58.

The spelling of 19956082756 in words is "nineteen billion, nine hundred fifty-six million, eighty-two thousand, seven hundred fifty-six".

Divisors: 1 2 4 23 37 46 74 83 92 148 166 332 529 851 1058 1369 1702 1909 2116 2738 3071 3404 3818 5476 6142 6889 7636 12284 13778 19573 27556 31487 39146 43907 62974 70633 78292 87814 113627 125948 141266 158447 175628 227254 254893 282532 316894 454508 509786 633788 724201 1019572 1448402 1624559 2613421 2896804 3249118 3644281 5226842 5862539 6498236 7288562 9431041 10453684 11725078 14577124 18862082 23450156 37724164 60108683 120217366 134838397 216913943 240434732 269676794 433827886 539353588 867655772 4989020689 9978041378 19956082756