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12028449024 = 28334334019
BaseRepresentation
bin10110011001111001…
…11001000100000000
31011001021122112002000
423030330321010000
5144113240332044
65305323224000
7604035062334
oct131474710400
934037575060
1012028449024
115112822869
1223b8378000
131199015877
148217057c4
154a5eded69
hex2ccf39100

12028449024 has 144 divisors (see below), whose sum is σ = 35661259200. Its totient is φ = 3999227904.

The previous prime is 12028449007. The next prime is 12028449061. The reversal of 12028449024 is 42094482021.

12028449024 is a `hidden beast` number, since 1 + 202 + 8 + 449 + 0 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12028449024.

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, 2990887 + ... + 2994905.

Almost surely, 212028449024 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 12028449024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17830629600).

12028449024 is an abundant number, since it is smaller than the sum of its proper divisors (23632810176).

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

12028449024 is an equidigital number, since it uses as much as digits as its factorization.

12028449024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4477 (or 4457 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 12028449024 in words is "twelve billion, twenty-eight million, four hundred forty-nine thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 433 576 768 864 866 1152 1299 1728 1732 2304 2598 3456 3464 3897 4019 5196 6912 6928 7794 8038 10392 11691 12057 13856 15588 16076 20784 23382 24114 27712 31176 32152 36171 41568 46764 48228 55424 62352 64304 72342 83136 93528 96456 108513 110848 124704 128608 144684 166272 187056 192912 217026 249408 257216 289368 332544 374112 385824 434052 498816 514432 578736 748224 771648 868104 997632 1028864 1157472 1496448 1543296 1736208 1740227 2314944 2992896 3086592 3472416 3480454 4629888 5220681 6944832 6960908 9259776 10441362 13889664 13921816 15662043 20882724 27779328 27843632 31324086 41765448 46986129 55687264 62648172 83530896 93972258 111374528 125296344 167061792 187944516 222749056 250592688 334123584 375889032 445498112 501185376 668247168 751778064 1002370752 1336494336 1503556128 2004741504 3007112256 4009483008 6014224512 12028449024