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2643867864 = 233411735081
BaseRepresentation
bin1001110110010110…
…0011100011011000
320211020220101220000
42131211203203120
520403312232424
61114203133000
7122342335401
oct23545434330
96736811800
102643867864
111137438070
12619514160
13331992171
141b11c09a8
151071983c9
hex9d9638d8

2643867864 has 160 divisors (see below), whose sum is σ = 8190761040. Its totient is φ = 790041600.

The previous prime is 2643867859. The next prime is 2643867869. The reversal of 2643867864 is 4687683462.

2643867864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2643867859) and next prime (2643867869).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2643867864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2643867869) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 517804 + ... + 522884.

Almost surely, 22643867864 is an apocalyptic number.

2643867864 is a gapful number since it is divisible by the number (24) 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 2643867864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4095380520).

2643867864 is an abundant number, since it is smaller than the sum of its proper divisors (5546893176).

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

2643867864 is a wasteful number, since it uses less digits than its factorization.

2643867864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5183 (or 5170 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The square root of 2643867864 is about 51418.5556389909. Note that the first 3 decimals coincide. The cubic root of 2643867864 is about 1382.7592807119.

The spelling of 2643867864 in words is "two billion, six hundred forty-three million, eight hundred sixty-seven thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 73 81 88 99 108 132 146 162 198 216 219 264 292 297 324 396 438 584 594 648 657 792 803 876 891 1188 1314 1606 1752 1782 1971 2376 2409 2628 3212 3564 3942 4818 5081 5256 5913 6424 7128 7227 7884 9636 10162 11826 14454 15243 15768 19272 20324 21681 23652 28908 30486 40648 43362 45729 47304 55891 57816 60972 65043 86724 91458 111782 121944 130086 137187 167673 173448 182916 223564 260172 274374 335346 365832 370913 411561 447128 503019 520344 548748 670692 741826 823122 1006038 1097496 1112739 1341384 1483652 1509057 1646244 2012076 2225478 2967304 3018114 3292488 3338217 4024152 4080043 4450956 4527171 6036228 6676434 8160086 8901912 9054342 10014651 12072456 12240129 13352868 16320172 18108684 20029302 24480258 26705736 30043953 32640344 36217368 36720387 40058604 48960516 60087906 73440774 80117208 97921032 110161161 120175812 146881548 220322322 240351624 293763096 330483483 440644644 660966966 881289288 1321933932 2643867864