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452641431320 = 235131796137933
BaseRepresentation
bin1101001011000111000…
…10000001111100011000
31121021100100201011012022
412211203202001330120
524404002201300240
6543535100434012
744462606453501
oct6454342017430
91537310634168
10452641431320
11164a67318941
1273884848908
13338b76c9180
1417c9d63bba8
15bb931049b5
hex6963881f18

452641431320 has 128 divisors (see below), whose sum is σ = 1104850756800. Its totient is φ = 165903427584.

The previous prime is 452641431311. The next prime is 452641431329. The reversal of 452641431320 is 23134146254.

It is an interprime number because it is at equal distance from previous prime (452641431311) and next prime (452641431329).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452641431329) 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 31 ways as a sum of consecutive naturals, for example, 57054074 + ... + 57062006.

Almost surely, 2452641431320 is an apocalyptic number.

452641431320 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 452641431320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552425378400).

452641431320 is an abundant number, since it is smaller than the sum of its proper divisors (652209325480).

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

452641431320 is a wasteful number, since it uses less digits than its factorization.

452641431320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8749 (or 8745 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

Adding to 452641431320 its reverse (23134146254), we get a palindrome (475775577574).

The spelling of 452641431320 in words is "four hundred fifty-two billion, six hundred forty-one million, four hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 179 260 358 520 613 716 895 1226 1432 1790 2327 2452 3065 3580 4654 4904 6130 7160 7933 7969 9308 11635 12260 15866 15938 18616 23270 24520 31732 31876 39665 39845 46540 63464 63752 79330 79690 93080 103129 109727 158660 159380 206258 219454 317320 318760 412516 438908 515645 548635 825032 877816 1031290 1097270 1420007 1426451 2062580 2194540 2840014 2852902 4125160 4389080 4862929 5680028 5705804 7100035 7132255 9725858 11360056 11411608 14200070 14264510 18460091 19451716 24314645 28400140 28529020 36920182 38903432 48629290 56800280 57058040 63218077 73840364 92300455 97258580 126436154 147680728 184600910 194517160 252872308 316090385 369201820 505744616 632180770 738403640 870464291 1264361540 1740928582 2528723080 3481857164 4352321455 6963714328 8704642910 11316035783 17409285820 22632071566 34818571640 45264143132 56580178915 90528286264 113160357830 226320715660 452641431320