Search a number
-
+
2534102016 = 21036113523
BaseRepresentation
bin1001011100001011…
…0101010000000000
320112121100201110020
42113002311100000
520142212231031
61055242333440
7116540340345
oct22702652000
96477321406
102534102016
111090486396
125a87ba280
1331500c564
141a07aa7cc
15ec715096
hex970b5400

2534102016 has 88 divisors (see below), whose sum is σ = 6865539744. Its totient is φ = 830791680.

The previous prime is 2534102009. The next prime is 2534102057. The reversal of 2534102016 is 6102014352.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 180631 + ... + 194153.

Almost surely, 22534102016 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 2534102016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3432769872).

2534102016 is an abundant number, since it is smaller than the sum of its proper divisors (4331437728).

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

2534102016 is a wasteful number, since it uses less digits than its factorization.

2534102016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13607 (or 13589 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2534102016 is about 50339.8650772924. The cubic root of 2534102016 is about 1363.3521001130.

Adding to 2534102016 its reverse (6102014352), we get a palindrome (8636116368).

The spelling of 2534102016 in words is "two billion, five hundred thirty-four million, one hundred two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 256 366 384 488 512 732 768 976 1024 1464 1536 1952 2928 3072 3904 5856 7808 11712 13523 15616 23424 27046 31232 40569 46848 54092 62464 81138 93696 108184 162276 187392 216368 324552 432736 649104 824903 865472 1298208 1649806 1730944 2474709 2596416 3299612 3461888 4949418 5192832 6599224 6923776 9898836 10385664 13198448 13847552 19797672 20771328 26396896 39595344 41542656 52793792 79190688 105587584 158381376 211175168 316762752 422350336 633525504 844700672 1267051008 2534102016