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12013581696 = 27371894951
BaseRepresentation
bin10110011000001000…
…01011010110000000
31011000020200011221020
423030010023112000
5144100434103241
65304032425440
7603464521344
oct131404132600
934006604836
1012013581696
115105398816
1223b33a8280
131195c0b72c
1481d755624
154a4a54b66
hex2cc10b580

12013581696 has 128 divisors (see below), whose sum is σ = 32730739200. Its totient is φ = 3902976000.

The previous prime is 12013581691. The next prime is 12013581707. The reversal of 12013581696 is 69618531021.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×120135816962 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12013581691) 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, 2424021 + ... + 2428971.

It is an arithmetic number, because the mean of its divisors is an integer number (255708900).

Almost surely, 212013581696 is an apocalyptic number.

12013581696 is a gapful number since it is divisible by the number (16) 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 12013581696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16365369600).

12013581696 is an abundant number, since it is smaller than the sum of its proper divisors (20717157504).

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

12013581696 is an equidigital number, since it uses as much as digits as its factorization.

12013581696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5128 (or 5116 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 12013581696 in words is "twelve billion, thirteen million, five hundred eighty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 89 96 128 142 178 192 213 267 284 356 384 426 534 568 712 852 1068 1136 1424 1704 2136 2272 2848 3408 4272 4544 4951 5696 6319 6816 8544 9088 9902 11392 12638 13632 14853 17088 18957 19804 25276 27264 29706 34176 37914 39608 50552 59412 75828 79216 101104 118824 151656 158432 202208 237648 303312 316864 351521 404416 440639 475296 606624 633728 703042 808832 881278 950592 1054563 1213248 1321917 1406084 1762556 1901184 2109126 2426496 2643834 2812168 3525112 4218252 5287668 5624336 7050224 8436504 10575336 11248672 14100448 16873008 21150672 22497344 28200896 31285369 33746016 42301344 44994688 56401792 62570738 67492032 84602688 93856107 125141476 134984064 169205376 187712214 250282952 375424428 500565904 750848856 1001131808 1501697712 2002263616 3003395424 4004527232 6006790848 12013581696