Search a number
-
+
1107055656018 = 23413525667453
BaseRepresentation
bin10000000111000001101…
…010001011110001010010
310220211111121112020020000
4100013001222023301102
5121114222221443033
62204324020430430
7142660604546154
oct20070152136122
93824447466200
101107055656018
11397555069874
1215a67a848416
1380519799b70
143b820590ad4
151dbe5110a13
hex101c1a8bc52

1107055656018 has 40 divisors (see below), whose sum is σ = 2671442001228. Its totient is φ = 340632508896.

The previous prime is 1107055656017. The next prime is 1107055656019. The reversal of 1107055656018 is 8106565507011.

It is a happy number.

1107055656018 is a `hidden beast` number, since 1 + 1 + 0 + 70 + 5 + 5 + 6 + 560 + 18 = 666.

It is an interprime number because it is at equal distance from previous prime (1107055656017) and next prime (1107055656019).

It can be written as a sum of positive squares in 2 ways, for example, as 1101750427449 + 5305228569 = 1049643^2 + 72837^2 .

It is not an unprimeable number, because it can be changed into a prime (1107055656011) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 262831621 + ... + 262835832.

Almost surely, 21107055656018 is an apocalyptic number.

1107055656018 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1107055656018 is an abundant number, since it is smaller than the sum of its proper divisors (1564386345210).

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

1107055656018 is a wasteful number, since it uses less digits than its factorization.

1107055656018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525667480 (or 525667471 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 45.

The spelling of 1107055656018 in words is "one trillion, one hundred seven billion, fifty-five million, six hundred fifty-six thousand, eighteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 702 1053 2106 525667453 1051334906 1577002359 3154004718 4731007077 6833676889 9462014154 13667353778 14193021231 20501030667 28386042462 41002061334 42579063693 61503092001 85158127386 123006184002 184509276003 369018552006 553527828009 1107055656018