Search a number
-
+
10600000056 = 2332373978979
BaseRepresentation
bin10011101111100111…
…10010101000111000
31000100201202210110200
421313303302220320
5133202100000211
64511454442200
7523451341152
oct116763625070
930321683420
1010600000056
11454a472a28
122079b03360
13ccc0b60a9
14727b09ad2
154208cab56
hex277cf2a38

10600000056 has 48 divisors (see below), whose sum is σ = 29484241800. Its totient is φ = 3437836992.

The previous prime is 10600000051. The next prime is 10600000069. The reversal of 10600000056 is 65000000601.

10600000056 is a `hidden beast` number, since 10 + 600 + 0 + 0 + 0 + 0 + 56 = 666.

It is a super-2 number, since 2×106000000562 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10599999984 and 10600000038.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10600000051) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1986826 + ... + 1992153.

Almost surely, 210600000056 is an apocalyptic number.

It is an amenable number.

10600000056 is an abundant number, since it is smaller than the sum of its proper divisors (18884241744).

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

10600000056 is a wasteful number, since it uses less digits than its factorization.

10600000056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3979028 (or 3979021 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 10600000056 its reverse (65000000601), we get a palindrome (75600000657).

The spelling of 10600000056 in words is "ten billion, six hundred million, fifty-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 3978979 7957958 11936937 15915916 23873874 31831832 35810811 47747748 71621622 95495496 143243244 147222223 286486488 294444446 441666669 588888892 883333338 1177777784 1325000007 1766666676 2650000014 3533333352 5300000028 10600000056