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12145563232 = 2511177872579
BaseRepresentation
bin10110100111110111…
…01001011001100000
31011100110000112120021
423103323221121200
5144333231010412
65325105323224
7606656404225
oct132373513140
934313015507
1012145563232
115172943470
12242b636514
1311b736c10a
148330ad94c
154b1425607
hex2d3ee9660

12145563232 has 96 divisors (see below), whose sum is σ = 27665608320. Its totient is φ = 5187348480.

The previous prime is 12145563229. The next prime is 12145563281. The reversal of 12145563232 is 23236554121.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4708119 + ... + 4710697.

It is an arithmetic number, because the mean of its divisors is an integer number (288183420).

Almost surely, 212145563232 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 12145563232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13832804160).

12145563232 is an abundant number, since it is smaller than the sum of its proper divisors (15520045088).

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

12145563232 is a wasteful number, since it uses less digits than its factorization.

12145563232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3404 (or 3396 counting only the distinct ones).

The product of its digits is 43200, while the sum is 34.

The spelling of 12145563232 in words is "twelve billion, one hundred forty-five million, five hundred sixty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 352 374 544 748 787 1496 1574 2579 2992 3148 5158 5984 6296 8657 10316 12592 13379 17314 20632 25184 26758 28369 34628 41264 43843 53516 56738 69256 82528 87686 107032 113476 138512 147169 175372 214064 226952 277024 294338 350744 428128 453904 482273 588676 701488 907808 964546 1177352 1402976 1929092 2029673 2354704 3858184 4059346 4709408 7716368 8118692 15432736 16237384 22326403 32474768 34504441 44652806 64949536 69008882 89305612 138017764 178611224 276035528 357222448 379548851 552071056 714444896 759097702 1104142112 1518195404 3036390808 6072781616 12145563232