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2116577934 = 2322931712791
BaseRepresentation
bin111111000101000…
…0110101010001110
312110111201022002100
41332022012222032
513313320443214
6550005335530
7103310421102
oct17612065216
95414638070
102116577934
11996831369
124b0a075a6
132796737a3
14161163902
15c5c3e309
hex7e286a8e

2116577934 has 48 divisors (see below), whose sum is σ = 4759391520. Its totient is φ = 678995520.

The previous prime is 2116577923. The next prime is 2116577951. The reversal of 2116577934 is 4397756112.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2116577934.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159079 + ... + 171869.

It is an arithmetic number, because the mean of its divisors is an integer number (99153990).

Almost surely, 22116577934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2116577934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2379695760).

2116577934 is an abundant number, since it is smaller than the sum of its proper divisors (2642813586).

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

2116577934 is a wasteful number, since it uses less digits than its factorization.

2116577934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13145 (or 13142 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 2116577934 is about 46006.2814624264. The cubic root of 2116577934 is about 1283.9400756673.

It can be divided in two parts, 21165 and 77934, that added together give a palindrome (99099).

The spelling of 2116577934 in words is "two billion, one hundred sixteen million, five hundred seventy-seven thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 317 522 634 951 1902 2853 5706 9193 12791 18386 25582 27579 38373 55158 76746 82737 115119 165474 230238 370939 741878 1112817 2225634 3338451 4054747 6676902 8109494 12164241 24328482 36492723 72985446 117587663 235175326 352762989 705525978 1058288967 2116577934