Search a number
-
+
12775634688 = 283313714503
BaseRepresentation
bin10111110010111110…
…01011011100000000
31012222100121111010010
423321133023130000
5202131030302223
65511414104520
7631410050235
oct137137133400
935870544103
1012775634688
115466570483
12258664b140
131287a6636b
14892a4378c
154eb8d3393
hex2f97cb700

12775634688 has 144 divisors (see below), whose sum is σ = 36049750016. Its totient is φ = 4009512960.

The previous prime is 12775634659. The next prime is 12775634689. The reversal of 12775634688 is 88643657721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12775634689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 873645 + ... + 888147.

Almost surely, 212775634688 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 12775634688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18024875008).

12775634688 is an abundant number, since it is smaller than the sum of its proper divisors (23274115328).

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

12775634688 is a wasteful number, since it uses less digits than its factorization.

12775634688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14590 (or 14576 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 57.

The spelling of 12775634688 in words is "twelve billion, seven hundred seventy-five million, six hundred thirty-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 37 48 62 64 74 93 96 111 124 128 148 186 192 222 248 256 296 372 384 444 496 592 744 768 888 992 1147 1184 1488 1776 1984 2294 2368 2976 3441 3552 3968 4588 4736 5952 6882 7104 7936 9176 9472 11904 13764 14208 14503 18352 23808 27528 28416 29006 36704 43509 55056 58012 73408 87018 110112 116024 146816 174036 220224 232048 293632 348072 440448 449593 464096 536611 696144 880896 899186 928192 1073222 1348779 1392288 1609833 1798372 1856384 2146444 2697558 2784576 3219666 3596744 3712768 4292888 5395116 5569152 6439332 7193488 8585776 10790232 11138304 12878664 14386976 16634941 17171552 21580464 25757328 28773952 33269882 34343104 43160928 49904823 51514656 57547904 66539764 68686208 86321856 99809646 103029312 115095808 133079528 137372416 172643712 199619292 206058624 266159056 345287424 399238584 412117248 532318112 798477168 1064636224 1596954336 2129272448 3193908672 4258544896 6387817344 12775634688