Search a number
-
+
3093982719960 = 2335112343926303
BaseRepresentation
bin101101000001011111101…
…111011010111111011000
3101221210002222100010021010
4231001133233122333120
5401142434034014320
610325204523213520
7436350530124066
oct55013757327730
911853088303233
103093982719960
11a93172649270
1241b7746772a0
131959b88034c2
14a9a6cb2b036
1555735580ae0
hex2d05fbdafd8

3093982719960 has 64 divisors (see below), whose sum is σ = 10125761633280. Its totient is φ = 750056416640.

The previous prime is 3093982719917. The next prime is 3093982720013. The reversal of 3093982719960 is 699172893903.

It is a happy number.

It is a super-2 number, since 2×30939827199602 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 3093982719891 and 3093982719900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1171961832 + ... + 1171964471.

It is an arithmetic number, because the mean of its divisors is an integer number (158215025520).

Almost surely, 23093982719960 is an apocalyptic number.

3093982719960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3093982719960 is an abundant number, since it is smaller than the sum of its proper divisors (7031778913320).

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

3093982719960 is a wasteful number, since it uses less digits than its factorization.

3093982719960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2343926328 (or 2343926324 counting only the distinct ones).

The product of its (nonzero) digits is 39680928, while the sum is 66.

The spelling of 3093982719960 in words is "three trillion, ninety-three billion, nine hundred eighty-two million, seven hundred nineteen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 2343926303 4687852606 7031778909 9375705212 11719631515 14063557818 18751410424 23439263030 25783189333 28127115636 35158894545 46878526060 51566378666 56254231272 70317789090 77349567999 93757052120 103132757332 128915946665 140635578180 154699135998 206265514664 257831893330 281271156360 309398271996 386747839995 515663786660 618796543992 773495679990 1031327573320 1546991359980 3093982719960