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2056112405256 = 2337135231800083
BaseRepresentation
bin11101111010111001110…
…110010111101100001000
321021120012000020101021210
4131322321312113230020
5232141404233432011
64212322012333120
7301356245036220
oct35727166275410
97246160211253
102056112405256
11722aa0939428
122925a3a741a0
1311bb76767c30
1471732ccd080
153873e2b06a6
hex1deb9d97b08

2056112405256 has 128 divisors (see below), whose sum is σ = 6338599787520. Its totient is φ = 541234255104.

The previous prime is 2056112405227. The next prime is 2056112405257. The reversal of 2056112405256 is 6525042116502.

It is a super-2 number, since 2×20561124052562 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2056112405257) 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, 242191 + ... + 2042273.

It is an arithmetic number, because the mean of its divisors is an integer number (49520310840).

Almost surely, 22056112405256 is an apocalyptic number.

2056112405256 is a gapful number since it is divisible by the number (26) 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 2056112405256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3169299893760).

2056112405256 is an abundant number, since it is smaller than the sum of its proper divisors (4282487382264).

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

2056112405256 is a wasteful number, since it uses less digits than its factorization.

2056112405256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1800635 (or 1800631 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

The spelling of 2056112405256 in words is "two trillion, fifty-six billion, one hundred twelve million, four hundred five thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 523 546 728 1046 1092 1569 2092 2184 3138 3661 4184 6276 6799 7322 10983 12552 13598 14644 20397 21966 27196 29288 40794 43932 47593 54392 81588 87864 95186 142779 163176 190372 285558 380744 571116 1142232 1800083 3600166 5400249 7200332 10800498 12600581 14400664 21600996 23401079 25201162 37801743 43201992 46802158 50402324 70203237 75603486 93604316 100804648 140406474 151206972 163807553 187208632 280812948 302413944 327615106 491422659 561625896 655230212 941443409 982845318 1310460424 1882886818 1965690636 2824330227 3765773636 3931381272 5648660454 6590103863 7531547272 11297320908 12238764317 13180207726 19770311589 22594641816 24477528634 26360415452 36716292951 39540623178 48955057268 52720830904 73432585902 79081246356 85671350219 97910114536 146865171804 158162492712 171342700438 257014050657 293730343608 342685400876 514028101314 685370801752 1028056202628 2056112405256