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2168269264 = 24737895879
BaseRepresentation
bin1000000100111101…
…0010100111010000
312121002222111021001
42001033102213100
513420034104024
6555053311344
7104505661510
oct20117224720
95532874231
102168269264
11a12a27877
12506195554
132872a1985
14167d7b840
15ca550244
hex813d29d0

2168269264 has 80 divisors (see below), whose sum is σ = 4987180800. Its totient is φ = 893832192.

The previous prime is 2168269253. The next prime is 2168269277. The reversal of 2168269264 is 4629628612.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 365877 + ... + 371755.

It is an arithmetic number, because the mean of its divisors is an integer number (62339760).

Almost surely, 22168269264 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 2168269264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2493590400).

2168269264 is an abundant number, since it is smaller than the sum of its proper divisors (2818911536).

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

2168269264 is a wasteful number, since it uses less digits than its factorization.

2168269264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6020 (or 6014 counting only the distinct ones).

The product of its digits is 497664, while the sum is 46.

The square root of 2168269264 is about 46564.6782873027. The cubic root of 2168269264 is about 1294.3083050012.

The spelling of 2168269264 in words is "two billion, one hundred sixty-eight million, two hundred sixty-nine thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 89 112 148 178 259 296 356 518 592 623 712 1036 1246 1424 2072 2492 3293 4144 4984 5879 6586 9968 11758 13172 23051 23516 26344 41153 46102 47032 52688 82306 92204 94064 164612 184408 217523 329224 368816 435046 523231 658448 870092 1046462 1522661 1740184 2092924 3045322 3480368 3662617 4185848 6090644 7325234 8371696 12181288 14650468 19359547 24362576 29300936 38719094 58601872 77438188 135516829 154876376 271033658 309752752 542067316 1084134632 2168269264