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2845673768 = 237313974129
BaseRepresentation
bin1010100110011101…
…1000100100101000
321100022122012112202
42221213120210220
521311443030033
61150212355332
7130342553660
oct25147304450
97308565482
102845673768
111230343903
12675015b48
1336472c442
141cdd131a0
15119c5c8e8
hexa99d8928

2845673768 has 64 divisors (see below), whose sum is σ = 6311961600. Its totient is φ = 1176975360.

The previous prime is 2845673759. The next prime is 2845673837. The reversal of 2845673768 is 8673765482.

It is a Harshad number since it is a multiple of its sum of digits (56).

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, 687128 + ... + 691256.

It is an arithmetic number, because the mean of its divisors is an integer number (98624400).

Almost surely, 22845673768 is an apocalyptic number.

2845673768 is a gapful number since it is divisible by the number (28) 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 2845673768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3155980800).

2845673768 is an abundant number, since it is smaller than the sum of its proper divisors (3466287832).

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

2845673768 is a wasteful number, since it uses less digits than its factorization.

2845673768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4570 (or 4566 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 56.

The square root of 2845673768 is about 53344.8569967153. The cubic root of 2845673768 is about 1417.0821802218.

The spelling of 2845673768 in words is "two billion, eight hundred forty-five million, six hundred seventy-three thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 217 248 397 434 794 868 1588 1736 2779 3176 4129 5558 8258 11116 12307 16516 22232 24614 28903 33032 49228 57806 86149 98456 115612 127999 172298 231224 255998 344596 511996 689192 895993 1023992 1639213 1791986 3278426 3583972 6556852 7167944 11474491 13113704 22948982 45897964 50815603 91795928 101631206 203262412 355709221 406524824 711418442 1422836884 2845673768