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6155144745344 = 277231032899781
BaseRepresentation
bin101100110010001101100…
…1101110101000110000000
3210210102111121202012121122
41121210123031311012000
51301321214023322334
621031345013211412
71203460140043040
oct131443315650600
923712447665548
106155144745344
111a63422820961
12834aa9630b68
1335857374a06a
14173ca695d720
15aa19956132e
hex5991b375180

6155144745344 has 128 divisors (see below), whose sum is σ = 14765225978880. Its totient is φ = 2498728826880.

The previous prime is 6155144745317. The next prime is 6155144745349. The reversal of 6155144745344 is 4435474415516.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×61551447453442 (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 (6155144745349) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 672734 + ... + 3572514.

It is an arithmetic number, because the mean of its divisors is an integer number (115353327960).

Almost surely, 26155144745344 is an apocalyptic number.

6155144745344 is a gapful number since it is divisible by the number (64) 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 6155144745344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7382612989440).

6155144745344 is an abundant number, since it is smaller than the sum of its proper divisors (8610081233536).

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

6155144745344 is a wasteful number, since it uses less digits than its factorization.

6155144745344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2899928 (or 2899916 counting only the distinct ones).

The product of its digits is 16128000, while the sum is 53.

The spelling of 6155144745344 in words is "six trillion, one hundred fifty-five billion, one hundred forty-four million, seven hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 103 112 128 161 184 206 224 322 368 412 448 644 721 736 824 896 1288 1442 1472 1648 2369 2576 2884 2944 3296 4738 5152 5768 6592 9476 10304 11536 13184 16583 18952 20608 23072 33166 37904 46144 66332 75808 92288 132664 151616 265328 303232 530656 1061312 2122624 2899781 5799562 11599124 20298467 23198248 40596934 46396496 66694963 81193868 92792992 133389926 162387736 185585984 266779852 298677443 324775472 371171968 466864741 533559704 597354886 649550944 933729482 1067119408 1194709772 1299101888 1867458964 2090742101 2134238816 2389419544 2598203776 3734917928 4181484202 4268477632 4778839088 6869581189 7469835856 8362968404 8536955264 9557678176 13739162378 14939671712 16725936808 19115356352 27478324756 29879343424 33451873616 38230712704 48087068323 54956649512 59758686848 66903747232 96174136646 109913299024 133807494464 192348273292 219826598048 267614988928 384696546584 439653196096 769393093168 879306392192 1538786186336 3077572372672 6155144745344