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6139383327540 = 22325101337699853
BaseRepresentation
bin101100101010110111111…
…0000110010101100110100
3210201220211011212020001200
41121111233300302230310
51301041424112440130
621020221015252500
71202361433151451
oct131255760625464
923656734766050
106139383327540
111a57774920431
12831a2b07a130
13356c31239538
1417320d574828
15a9a75996760
hex5956fc32b34

6139383327540 has 72 divisors (see below), whose sum is σ = 18807180268968. Its totient is φ = 1620959289600.

The previous prime is 6139383327487. The next prime is 6139383327559. The reversal of 6139383327540 is 457233839316.

6139383327540 is a `hidden beast` number, since 6 + 1 + 3 + 93 + 8 + 3 + 3 + 2 + 7 + 540 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3888555251364 + 2250828076176 = 1971942^2 + 1500276^2 .

It is a super-2 number, since 2×61393833275402 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168831747 + ... + 168868106.

It is an arithmetic number, because the mean of its divisors is an integer number (261210837069).

It is a 1-persistent number, because it is pandigital, but 2⋅6139383327540 = 12278766655080 is not.

Almost surely, 26139383327540 is an apocalyptic number.

6139383327540 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6139383327540 is an abundant number, since it is smaller than the sum of its proper divisors (12667796941428).

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

6139383327540 is a wasteful number, since it uses less digits than its factorization.

6139383327540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337699969 (or 337699964 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 6139383327540 in words is "six trillion, one hundred thirty-nine billion, three hundred eighty-three million, three hundred twenty-seven thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2020 3030 3636 4545 6060 9090 18180 337699853 675399706 1013099559 1350799412 1688499265 2026199118 3039298677 3376998530 4052398236 5065497795 6078597354 6753997060 10130995590 12157194708 15196493385 20261991180 30392986770 34107685153 60785973540 68215370306 102323055459 136430740612 170538425765 204646110918 306969166377 341076851530 409292221836 511615277295 613938332754 682153703060 1023230554590 1227876665508 1534845831885 2046461109180 3069691663770 6139383327540