Search a number
-
+
10256423076 = 2232168792
BaseRepresentation
bin10011000110101010…
…01001100010100100
3222110210021021110100
421203111021202210
5132001121014301
64413422424100
7512110105044
oct114325114244
928423237410
1010256423076
114393535509
121ba2a32030
13c75b6b5c3
146d4231724
15400660286
hex2635498a4

10256423076 has 27 divisors (see below), whose sum is σ = 25927494411. Its totient is φ = 3418605144.

The previous prime is 10256423059. The next prime is 10256423113. The reversal of 10256423076 is 67032465201.

The square root of 10256423076 is 101274.

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

10256423076 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 642 + 3 + 0 + 7 + 6 = 666.

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 10256423076.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 599205 + ... + 616083.

Almost surely, 210256423076 is an apocalyptic number.

10256423076 is the 101274-th square number.

It is an amenable number.

10256423076 is an abundant number, since it is smaller than the sum of its proper divisors (15671071335).

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

10256423076 is an frugal number, since it uses more digits than its factorization.

10256423076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33768 (or 16884 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Multiplying 10256423076 by its sum of digits (36), we get a square (369231230736 = 6076442).

10256423076 divided by its sum of digits (36) gives a square (284900641 = 168792).

Adding to 10256423076 its reverse (67032465201), we get a palindrome (77288888277).

The spelling of 10256423076 in words is "ten billion, two hundred fifty-six million, four hundred twenty-three thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 16879 33758 50637 67516 101274 151911 202548 303822 607644 284900641 569801282 854701923 1139602564 1709403846 2564105769 3418807692 5128211538 10256423076