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2141861256 = 2332274110853
BaseRepresentation
bin111111110101010…
…0011010110001000
312112021021211021200
41333222203112020
513341304030011
6552311304200
7104035343313
oct17752432610
95467254250
102141861256
119aa030077
124b937b060
13281986932
1416466597a
15c8085856
hex7faa3588

2141861256 has 48 divisors (see below), whose sum is σ = 5803525260. Its totient is φ = 713627520.

The previous prime is 2141861243. The next prime is 2141861287. The reversal of 2141861256 is 6521681412.

It is a happy number.

2141861256 is a `hidden beast` number, since 21 + 4 + 18 + 612 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2126132100 + 15729156 = 46110^2 + 3966^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 2141861256.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 191926 + ... + 202778.

Almost surely, 22141861256 is an apocalyptic number.

It is an amenable number.

2141861256 is an abundant number, since it is smaller than the sum of its proper divisors (3661664004).

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

2141861256 is a wasteful number, since it uses less digits than its factorization.

2141861256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13606 (or 13599 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 2141861256 is about 46280.2469310612. The cubic root of 2141861256 is about 1289.0322361221.

The spelling of 2141861256 in words is "two billion, one hundred forty-one million, eight hundred sixty-one thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2741 5482 8223 10853 10964 16446 21706 21928 24669 32559 32892 43412 49338 65118 65784 86824 97677 98676 130236 195354 197352 260472 390708 781416 29748073 59496146 89244219 118992292 178488438 237984584 267732657 356976876 535465314 713953752 1070930628 2141861256