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12257317044 = 22327233168219
BaseRepresentation
bin10110110101001011…
…11101000010110100
31011122020022012222100
423122211331002310
5200100333121134
65344140502100
7612514322130
oct133245750264
934566265870
1012257317044
11521aa32795
122460b4a930
13120456982b
14843c803c0
154bb14c999
hex2da97d0b4

12257317044 has 144 divisors (see below), whose sum is σ = 38142074880. Its totient is φ = 3241719360.

The previous prime is 12257317027. The next prime is 12257317097. The reversal of 12257317044 is 44071375221.

12257317044 is a `hidden beast` number, since 12 + 2 + 573 + 1 + 70 + 4 + 4 = 666.

It is a super-2 number, since 2×122573170442 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145567 + ... + 213785.

It is an arithmetic number, because the mean of its divisors is an integer number (264875520).

Almost surely, 212257317044 is an apocalyptic number.

12257317044 is a gapful number since it is divisible by the number (14) 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 12257317044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19071037440).

12257317044 is an abundant number, since it is smaller than the sum of its proper divisors (25884757836).

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

12257317044 is a wasteful number, since it uses less digits than its factorization.

12257317044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68290 (or 68285 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 12257317044 in words is "twelve billion, two hundred fifty-seven million, three hundred seventeen thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 31 36 42 46 62 63 69 84 92 93 124 126 138 161 186 207 217 252 276 279 322 372 414 434 483 558 644 651 713 828 868 966 1116 1302 1426 1449 1932 1953 2139 2604 2852 2898 3906 4278 4991 5796 6417 7812 8556 9982 12834 14973 19964 25668 29946 44919 59892 68219 89838 136438 179676 204657 272876 409314 477533 613971 818628 955066 1227942 1432599 1569037 1910132 2114789 2455884 2865198 3138074 4229578 4297797 4707111 5730396 6276148 6344367 8459156 8595594 9414222 10983259 12688734 14121333 14803523 17191188 18828444 19033101 21966518 25377468 28242666 29607046 32949777 38066202 43933036 44410569 48640147 56485332 59214092 65899554 76132404 88821138 97280294 98849331 131799108 133231707 145920441 177642276 194560588 197698662 266463414 291840882 340481029 395397324 437761323 532926828 583681764 680962058 875522646 1021443087 1361924116 1751045292 2042886174 3064329261 4085772348 6128658522 12257317044