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12026493480 = 2335479072351
BaseRepresentation
bin10110011001101010…
…11011101000101000
31011001010222011120110
423030311123220220
5144112240242410
65305213254320
7604012336131
oct131465335050
934033864513
1012026493480
115111707611
1223b77943a0
1311987ac741
14821356c88
154a5c55720
hex2ccd5ba28

12026493480 has 128 divisors (see below), whose sum is σ = 36903444480. Its totient is φ = 3134035200.

The previous prime is 12026493443. The next prime is 12026493499. The reversal of 12026493480 is 8439462021.

12026493480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5114305 + ... + 5116655.

It is an arithmetic number, because the mean of its divisors is an integer number (288308160).

Almost surely, 212026493480 is an apocalyptic number.

12026493480 is a gapful number since it is divisible by the number (10) 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 12026493480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18451722240).

12026493480 is an abundant number, since it is smaller than the sum of its proper divisors (24876951000).

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

12026493480 is a wasteful number, since it uses less digits than its factorization.

12026493480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3319 (or 3315 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 12026493480 in words is "twelve billion, twenty-six million, four hundred ninety-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 564 705 907 940 1128 1410 1814 1880 2351 2721 2820 3628 4535 4702 5442 5640 7053 7256 9070 9404 10884 11755 13605 14106 18140 18808 21768 23510 27210 28212 35265 36280 42629 47020 54420 56424 70530 85258 94040 108840 110497 127887 141060 170516 213145 220994 255774 282120 331491 341032 426290 441988 511548 552485 639435 662982 852580 883976 1023096 1104970 1278870 1325964 1657455 1705160 2132357 2209940 2557740 2651928 3314910 4264714 4419880 5115480 6397071 6629820 8529428 10661785 12794142 13259640 17058856 21323570 25588284 31985355 42647140 51176568 63970710 85294280 100220779 127941420 200441558 255882840 300662337 400883116 501103895 601324674 801766232 1002207790 1202649348 1503311685 2004415580 2405298696 3006623370 4008831160 6013246740 12026493480