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2511114112 = 27136532311
BaseRepresentation
bin1001010110101100…
…1000111110000000
320111000002210222101
42111223020332000
520120321122422
61053101520144
7116141055253
oct22553107600
96430083871
102511114112
111079505221
125a0b73054
13310321150
1419b70509a
15ea6c3c27
hex95ac8f80

2511114112 has 64 divisors (see below), whose sum is σ = 5398011360. Its totient is φ = 1156700160.

The previous prime is 2511114103. The next prime is 2511114127. The reversal of 2511114112 is 2114111152.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 2511114112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1085437 + ... + 1087747.

Almost surely, 22511114112 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 2511114112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2699005680).

2511114112 is an abundant number, since it is smaller than the sum of its proper divisors (2886897248).

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

2511114112 is a wasteful number, since it uses less digits than its factorization.

2511114112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2991 (or 2979 counting only the distinct ones).

The product of its digits is 80, while the sum is 19.

The square root of 2511114112 is about 50111.0178703247. The cubic root of 2511114112 is about 1359.2170580031.

Adding to 2511114112 its reverse (2114111152), we get a palindrome (4625225264).

The spelling of 2511114112 in words is "two billion, five hundred eleven million, one hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 653 832 1306 1664 2311 2612 4622 5224 8489 9244 10448 16978 18488 20896 30043 33956 36976 41792 60086 67912 73952 83584 120172 135824 147904 240344 271648 295808 480688 543296 961376 1086592 1509083 1922752 3018166 3845504 6036332 12072664 19618079 24145328 39236158 48290656 78472316 96581312 156944632 193162624 313889264 627778528 1255557056 2511114112