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4492877820312 = 2337225491498813
BaseRepresentation
bin100000101100001010001…
…1000101111000110011000
3120220111220101021012100210
41001120110120233012120
51042102403210222222
613315555524131120
7642412462233300
oct101302430570630
916814811235323
104492877820312
111482467445052
126068bb836aa0
132678a45324ab
141176566c0600
157bd0b6dcd0c
hex4161462f198

4492877820312 has 96 divisors (see below), whose sum is σ = 13071156894000. Its totient is φ = 1283174919936.

The previous prime is 4492877820307. The next prime is 4492877820313. The reversal of 4492877820312 is 2130287782944.

It is a super-2 number, since 2×44928778203122 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4492877820313) 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 23 ways as a sum of consecutive naturals, for example, 2248218 + ... + 3747030.

Almost surely, 24492877820312 is an apocalyptic number.

4492877820312 is a gapful number since it is divisible by the number (42) 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 4492877820312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6535578447000).

4492877820312 is an abundant number, since it is smaller than the sum of its proper divisors (8578279073688).

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

4492877820312 is a wasteful number, since it uses less digits than its factorization.

4492877820312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501385 (or 1501374 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 57.

The spelling of 4492877820312 in words is "four trillion, four hundred ninety-two billion, eight hundred seventy-seven million, eight hundred twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 2549 5098 7647 10196 15294 17843 20392 30588 35686 53529 61176 71372 107058 124901 142744 214116 249802 374703 428232 499604 749406 999208 1498812 1498813 2997624 2997626 4496439 5995252 8992878 10491691 11990504 17985756 20983382 31475073 35971512 41966764 62950146 73441837 83933528 125900292 146883674 220325511 251800584 293767348 440651022 587534696 881302044 1762604088 3820474337 7640948674 11461423011 15281897348 22922846022 26743320359 30563794696 45845692044 53486640718 80229961077 91691384088 106973281436 160459922154 187203242513 213946562872 320919844308 374406485026 561609727539 641839688616 748812970052 1123219455078 1497625940104 2246438910156 4492877820312