Search a number
-
+
1056030372585 = 325149157498937
BaseRepresentation
bin11110101111000000101…
…00001011001011101001
310201221210120110021010200
433113200110023023221
5114300222233410320
62125044511502413
7136203263026656
oct17274024131351
93657716407120
101056030372585
11377950684141
121507ba527a09
13787774a9a66
143917da10c2d
151c70a743290
hexf5e050b2e9

1056030372585 has 24 divisors (see below), whose sum is σ = 1842737574600. Its totient is φ = 559436220672.

The previous prime is 1056030372569. The next prime is 1056030372587. The reversal of 1056030372585 is 5852730306501.

1056030372585 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 0 + 30 + 37 + 2 + 585 = 666.

1056030372585 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 41846430096 + 1014183942489 = 204564^2 + 1007067^2 .

It is not a de Polignac number, because 1056030372585 - 24 = 1056030372569 is a prime.

It is a super-2 number, since 2×10560303725852 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1056030372585.

It is not an unprimeable number, because it can be changed into a prime (1056030372587) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78742764 + ... + 78756173.

It is an arithmetic number, because the mean of its divisors is an integer number (76780732275).

Almost surely, 21056030372585 is an apocalyptic number.

1056030372585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1056030372585 is a deficient number, since it is larger than the sum of its proper divisors (786707202015).

1056030372585 is a wasteful number, since it uses less digits than its factorization.

1056030372585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157499097 (or 157499094 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 1056030372585 in words is "one trillion, fifty-six billion, thirty million, three hundred seventy-two thousand, five hundred eighty-five".

Divisors: 1 3 5 9 15 45 149 447 745 1341 2235 6705 157498937 472496811 787494685 1417490433 2362484055 7087452165 23467341613 70402024839 117336708065 211206074517 352010124195 1056030372585