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452841310920 = 2335157109321991
BaseRepresentation
bin1101001011011110111…
…00100000101011001000
31121021212021211002110110
412211233130200223020
524404404333422140
6544011000514320
744500554430035
oct6455734405310
91537767732413
10452841310920
1116505a129399
127391b77b9a0
1333919c4071b
1417cbbdcc38c
15bba5938380
hex696f720ac8

452841310920 has 128 divisors (see below), whose sum is σ = 1368490026240. Its totient is φ = 119873295360.

The previous prime is 452841310919. The next prime is 452841310967. The reversal of 452841310920 is 29013148254.

It is a super-2 number, since 2×4528413109202 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20581125 + ... + 20603115.

It is an arithmetic number, because the mean of its divisors is an integer number (10691328330).

Almost surely, 2452841310920 is an apocalyptic number.

452841310920 is a gapful number since it is divisible by the number (40) 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 452841310920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684245013120).

452841310920 is an abundant number, since it is smaller than the sum of its proper divisors (915648715320).

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

452841310920 is a wasteful number, since it uses less digits than its factorization.

452841310920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23255 (or 23251 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 452841310920 in words is "four hundred fifty-two billion, eight hundred forty-one million, three hundred ten thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 157 314 471 628 785 942 1093 1256 1570 1884 2186 2355 3140 3279 3768 4372 4710 5465 6280 6558 8744 9420 10930 13116 16395 18840 21860 21991 26232 32790 43720 43982 65580 65973 87964 109955 131160 131946 171601 175928 219910 263892 329865 343202 439820 514803 527784 659730 686404 858005 879640 1029606 1319460 1372808 1716010 2059212 2574015 2638920 3432020 3452587 4118424 5148030 6864040 6905174 10296060 10357761 13810348 17262935 20592120 20715522 24036163 27620696 34525870 41431044 48072326 51788805 69051740 72108489 82862088 96144652 103577610 120180815 138103480 144216978 192289304 207155220 240361630 288433956 360542445 414310440 480723260 576867912 721084890 961446520 1442169780 2884339560 3773677591 7547355182 11321032773 15094710364 18868387955 22642065546 30189420728 37736775910 45284131092 56605163865 75473551820 90568262184 113210327730 150947103640 226420655460 452841310920