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2913296320 = 265111994159
BaseRepresentation
bin1010110110100101…
…0101111111000000
321112000212210020201
42231221111333000
521431300440240
61201030014544
7132123416164
oct25551257700
97460783221
102913296320
111265530710
126937a7454
13375747a9c
141d8cb6ca4
15120b68d9a
hexada55fc0

2913296320 has 112 divisors (see below), whose sum is σ = 7607808000. Its totient is φ = 1053803520.

The previous prime is 2913296317. The next prime is 2913296327. The reversal of 2913296320 is 236923192.

It is a self number, because there is not a number n which added to its sum of digits gives 2913296320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2913296327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 698401 + ... + 702559.

Almost surely, 22913296320 is an apocalyptic number.

2913296320 is a gapful number since it is divisible by the number (20) 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 2913296320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3803904000).

2913296320 is an abundant number, since it is smaller than the sum of its proper divisors (4694511680).

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

2913296320 is a wasteful number, since it uses less digits than its factorization.

2913296320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4386 (or 4376 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 37.

The square root of 2913296320 is about 53974.9601204114. The cubic root of 2913296320 is about 1428.2192645077.

The spelling of 2913296320 in words is "two billion, nine hundred thirteen million, two hundred ninety-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 199 220 320 352 398 440 704 796 880 995 1592 1760 1990 2189 3184 3520 3980 4159 4378 6368 7960 8318 8756 10945 12736 15920 16636 17512 20795 21890 31840 33272 35024 41590 43780 45749 63680 66544 70048 83180 87560 91498 133088 140096 166360 175120 182996 228745 266176 332720 350240 365992 457490 665440 700480 731984 827641 914980 1330880 1463968 1655282 1829960 2927936 3310564 3659920 4138205 6621128 7319840 8276410 9104051 13242256 14639680 16552820 18208102 26484512 33105640 36416204 45520255 52969024 66211280 72832408 91040510 132422560 145664816 182081020 264845120 291329632 364162040 582659264 728324080 1456648160 2913296320