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12274057488 = 24371110930467
BaseRepresentation
bin10110110111001011…
…10100000100010000
31011200101210201112210
423123211310010100
5200114124314423
65345535352120
7613106524110
oct133345640420
934611721483
1012274057488
115229427070
122466682640
131207b7b414
1484619b040
154bc857b93
hex2db974110

12274057488 has 160 divisors (see below), whose sum is σ = 39896017920. Its totient is φ = 3158714880.

The previous prime is 12274057487. The next prime is 12274057501. The reversal of 12274057488 is 88475047221.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (12274057487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 387631 + ... + 418097.

It is an arithmetic number, because the mean of its divisors is an integer number (249350112).

Almost surely, 212274057488 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 12274057488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19948008960).

12274057488 is an abundant number, since it is smaller than the sum of its proper divisors (27621960432).

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

12274057488 is a wasteful number, since it uses less digits than its factorization.

12274057488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30605 (or 30599 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 48.

The spelling of 12274057488 in words is "twelve billion, two hundred seventy-four million, fifty-seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 109 112 132 154 168 176 218 231 264 308 327 336 436 462 528 616 654 763 872 924 1199 1232 1308 1526 1744 1848 2289 2398 2616 3052 3597 3696 4578 4796 5232 6104 7194 8393 9156 9592 12208 14388 16786 18312 19184 25179 28776 30467 33572 36624 50358 57552 60934 67144 91401 100716 121868 134288 182802 201432 213269 243736 335137 365604 402864 426538 487472 639807 670274 731208 853076 1005411 1279614 1340548 1462416 1706152 2010822 2345959 2559228 2681096 3320903 3412304 4021644 4691918 5118456 5362192 6641806 7037877 8043288 9383836 9962709 10236912 13283612 14075754 16086576 18767672 19925418 23246321 26567224 28151508 36529933 37535344 39850836 46492642 53134448 56303016 69738963 73059866 79701672 92985284 109589799 112606032 139477926 146119732 159403344 185970568 219179598 255709531 278955852 292239464 371941136 438359196 511419062 557911704 584478928 767128593 876718392 1022838124 1115823408 1534257186 1753436784 2045676248 3068514372 4091352496 6137028744 12274057488