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3846137807382 = 2313247676311933
BaseRepresentation
bin110111111101111111101…
…011011000001000010110
3111121200112221211110210120
4313331333223120020112
51001003342234314012
612102520305132410
7544605610644063
oct67757753301026
914550487743716
103846137807382
111253157583aa2
125214a792a106
1321b8c6347c00
14d4222a6bc6a
156a0a82c758c
hex37f7fad8216

3846137807382 has 96 divisors (see below), whose sum is σ = 8508699883008. Its totient is φ = 1157979408768.

The previous prime is 3846137807381. The next prime is 3846137807389. The reversal of 3846137807382 is 2837087316483.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3846137807381) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 322305088 + ... + 322317020.

It is an arithmetic number, because the mean of its divisors is an integer number (88632290448).

Almost surely, 23846137807382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3846137807382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4254349941504).

3846137807382 is an abundant number, since it is smaller than the sum of its proper divisors (4662562075626).

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

3846137807382 is a wasteful number, since it uses less digits than its factorization.

3846137807382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18774 (or 18761 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 60.

The spelling of 3846137807382 in words is "three trillion, eight hundred forty-six billion, one hundred thirty-seven million, eight hundred seven thousand, three hundred eighty-two".

Divisors: 1 2 3 6 13 26 39 47 78 94 141 169 282 338 507 611 1014 1222 1833 3666 6763 7943 11933 13526 15886 20289 23829 23866 35799 40578 47658 71598 87919 155129 175838 263757 310258 317861 465387 527514 560851 635722 930774 953583 1121702 1142947 1682553 1907166 2016677 2285894 3365106 3428841 4033354 4132193 6050031 6857682 7291063 8264386 12100062 12396579 14582126 21873189 24793158 43746378 53718509 80702879 94783819 107437018 161155527 161405758 189567638 242108637 284351457 322311054 484217274 568702914 1049137427 2098274854 3147412281 3793035313 6294824562 7586070626 11379105939 13638786551 22758211878 27277573102 40916359653 49309459069 81832719306 98618918138 147928377207 295856754414 641022967897 1282045935794 1923068903691 3846137807382