Search a number
-
+
2079943812 = 2233178313649
BaseRepresentation
bin111101111111001…
…0110110010000100
312100221210002112000
41323332112302010
513224431200222
6542220225300
7102354142062
oct17376266204
95327702460
102079943812
1197808a631
124a069b230
13271bb7cab
1415a349032
15c29049ac
hex7bf96c84

2079943812 has 96 divisors (see below), whose sum is σ = 5778864000. Its totient is φ = 644622336.

The previous prime is 2079943799. The next prime is 2079943847. The reversal of 2079943812 is 2183499702.

2079943812 is a `hidden beast` number, since 207 + 9 + 9 + 438 + 1 + 2 = 666.

It is a super-2 number, since 2×20799438122 = 8652332522154182688, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145564 + ... + 159212.

It is an arithmetic number, because the mean of its divisors is an integer number (60196500).

Almost surely, 22079943812 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2079943812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2889432000).

2079943812 is an abundant number, since it is smaller than the sum of its proper divisors (3698920188).

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

2079943812 is a wasteful number, since it uses less digits than its factorization.

2079943812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13762 (or 13754 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 2079943812 is about 45606.4009981055. The cubic root of 2079943812 is about 1276.4893654329.

The spelling of 2079943812 in words is "two billion, seventy-nine million, nine hundred forty-three thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 83 102 108 153 166 204 249 306 332 459 498 612 747 918 996 1411 1494 1836 2241 2822 2988 4233 4482 5644 8466 8964 12699 13649 16932 25398 27298 38097 40947 50796 54596 76194 81894 122841 152388 163788 232033 245682 368523 464066 491364 696099 737046 928132 1132867 1392198 1474092 2088297 2265734 2784396 3398601 4176594 4531468 6264891 6797202 8353188 10195803 12529782 13594404 19258739 20391606 25059564 30587409 38517478 40783212 57776217 61174818 77034956 115552434 122349636 173328651 231104868 346657302 519985953 693314604 1039971906 2079943812