Search a number
-
+
24542112012 = 2231134732693
BaseRepresentation
bin10110110110110100…
…101110100100001100
32100100101022110120120
4112312310232210030
5400230240041022
615135142344540
71526114336655
oct266664564414
970311273516
1024542112012
11a454423000
12490b12b150
132411707392
14128b63452c
159898c6d5c
hex5b6d2e90c

24542112012 has 96 divisors (see below), whose sum is σ = 64329237504. Its totient is φ = 7278546880.

The previous prime is 24542111959. The next prime is 24542112043. The reversal of 24542112012 is 21021124542.

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, 734338 + ... + 767030.

It is an arithmetic number, because the mean of its divisors is an integer number (670096224).

Almost surely, 224542112012 is an apocalyptic number.

24542112012 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 24542112012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32164618752).

24542112012 is an abundant number, since it is smaller than the sum of its proper divisors (39787125492).

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

24542112012 is a wasteful number, since it uses less digits than its factorization.

24542112012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32780 (or 32756 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 24542112012 its reverse (21021124542), we get a palindrome (45563236554).

The spelling of 24542112012 in words is "twenty-four billion, five hundred forty-two million, one hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 47 66 94 121 132 141 188 242 282 363 484 517 564 726 1034 1331 1452 1551 2068 2662 3102 3993 5324 5687 6204 7986 11374 15972 17061 22748 32693 34122 62557 65386 68244 98079 125114 130772 187671 196158 250228 359623 375342 392316 719246 750684 1078869 1438492 1536571 2157738 3073142 3955853 4315476 4609713 6146284 7911706 9219426 11867559 15823412 16902281 18438852 23735118 33804562 43514383 47470236 50706843 67609124 87028766 101413686 130543149 174057532 185925091 202827372 261086298 371850182 522172596 557775273 743700364 1115550546 2045176001 2231101092 4090352002 6135528003 8180704004 12271056006 24542112012