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2566147068 = 22371915439
BaseRepresentation
bin1001100011110100…
…0100101111111100
320121211122210000000
42120331010233330
520223413201233
61102345234300
7120406614222
oct23075045774
96554583000
102566147068
1110a7583301
125b7492990
1331b84c324
141a4b4cb12
15100444d13
hex98f44bfc

2566147068 has 96 divisors (see below), whose sum is σ = 7090048000. Its totient is φ = 810309744.

The previous prime is 2566147061. The next prime is 2566147069. The reversal of 2566147068 is 8607416652.

2566147068 is a `hidden beast` number, since 2 + 566 + 14 + 70 + 6 + 8 = 666.

It is a super-2 number, since 2×25661470682 = 13170221549209993248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2566147061) 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, 158493 + ... + 173931.

Almost surely, 22566147068 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 2566147068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3545024000).

2566147068 is an abundant number, since it is smaller than the sum of its proper divisors (4523900932).

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

2566147068 is a wasteful number, since it uses less digits than its factorization.

2566147068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15483 (or 15463 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2566147068 is about 50657.1521899919. The cubic root of 2566147068 is about 1369.0748132120.

The spelling of 2566147068 in words is "two billion, five hundred sixty-six million, one hundred forty-seven thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 243 324 342 486 513 684 729 972 1026 1458 1539 2052 2187 2916 3078 4374 4617 6156 8748 9234 13851 15439 18468 27702 30878 41553 46317 55404 61756 83106 92634 138951 166212 185268 277902 293341 416853 555804 586682 833706 880023 1173364 1250559 1667412 1760046 2501118 2640069 3520092 3751677 5002236 5280138 7503354 7920207 10560276 11255031 15006708 15840414 22510062 23760621 31680828 33765093 45020124 47521242 67530186 71281863 95042484 135060372 142563726 213845589 285127452 427691178 641536767 855382356 1283073534 2566147068