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2114829744852 = 2231183229842923
BaseRepresentation
bin11110110001100101101…
…011001111101011010100
321111011202010021021202010
4132301211223033223110
5234122132403313402
64255312300544220
7305535311142216
oct36614553175324
97434663237663
102114829744852
11745992291770
122a1a50252070
1312457354b666
14745032965b6
153a0290eaa6c
hex1ec65acfad4

2114829744852 has 96 divisors (see below), whose sum is σ = 5471858004480. Its totient is φ = 630370788480.

The previous prime is 2114829744817. The next prime is 2114829744877. The reversal of 2114829744852 is 2584479284112.

It is a junction number, because it is equal to n+sod(n) for n = 2114829744792 and 2114829744801.

It is a congruent number.

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, 2087463 + ... + 2930385.

It is an arithmetic number, because the mean of its divisors is an integer number (56998520880).

Almost surely, 22114829744852 is an apocalyptic number.

2114829744852 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2114829744852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2735929002240).

2114829744852 is an abundant number, since it is smaller than the sum of its proper divisors (3357028259628).

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

2114829744852 is a wasteful number, since it uses less digits than its factorization.

2114829744852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843253 (or 843251 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 57.

The spelling of 2114829744852 in words is "two trillion, one hundred fourteen billion, eight hundred twenty-nine million, seven hundred forty-four thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 83 132 166 229 249 332 458 498 687 913 916 996 1374 1826 2519 2739 2748 3652 5038 5478 7557 10076 10956 15114 19007 30228 38014 57021 76028 114042 209077 228084 418154 627231 836308 842923 1254462 1685846 2508924 2528769 3371692 5057538 9272153 10115076 18544306 27816459 37088612 55632918 69962609 111265836 139925218 193029367 209887827 279850436 386058734 419775654 579088101 769588699 772117468 839551308 1158176202 1539177398 2123323037 2308766097 2316352404 3078354796 4246646074 4617532194 6369969111 8493292148 9235064388 12739938222 16021437461 25479876444 32042874922 48064312383 64085749844 96128624766 176235812071 192257249532 352471624142 528707436213 704943248284 1057414872426 2114829744852