Search a number
-
+
1116813045960 = 233253102258461
BaseRepresentation
bin10000010000000111001…
…111101011000011001000
310221202200121202222220200
4100100013033223003020
5121244213114432320
62213020135252200
7143454445155153
oct20200717530310
93852617688820
101116813045960
113a07019382a7
1216054251a060
1381413131491
143c0a83dcc9a
151e0b6a49290
hex104073eb0c8

1116813045960 has 48 divisors (see below), whose sum is σ = 3629642400540. Its totient is φ = 297816812160.

The previous prime is 1116813045899. The next prime is 1116813045967. The reversal of 1116813045960 is 695403186111.

1116813045960 is a `hidden beast` number, since 1 + 1 + 1 + 6 + 8 + 130 + 459 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1107836241444 + 8976804516 = 1052538^2 + 94746^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1116813045967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1551128871 + ... + 1551129590.

Almost surely, 21116813045960 is an apocalyptic number.

1116813045960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1116813045960 is an abundant number, since it is smaller than the sum of its proper divisors (2512829354580).

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

1116813045960 is a wasteful number, since it uses less digits than its factorization.

1116813045960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3102258478 (or 3102258471 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 1116813045960 in words is "one trillion, one hundred sixteen billion, eight hundred thirteen million, forty-five thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 3102258461 6204516922 9306775383 12409033844 15511292305 18613550766 24818067688 27920326149 31022584610 37227101532 46533876915 55840652298 62045169220 74454203064 93067753830 111681304596 124090338440 139601630745 186135507660 223362609192 279203261490 372271015320 558406522980 1116813045960