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3755099844864 = 2834134572
BaseRepresentation
bin110110101001001101011…
…001000111000100000000
3111021222120100211210210000
4312221031121013010000
5443010421030013424
611553022525440000
7535203606015534
oct66511531070400
914258510753700
103755099844864
11121858aa70345
1250791b410000
13213148486434
14cda67d7dbc4
1567a2ac6b3c9
hex36a4d647100

3755099844864 has 135 divisors (see below), whose sum is σ = 11197860406117. Its totient is φ = 1251606933504.

The previous prime is 3755099844823. The next prime is 3755099844887. The reversal of 3755099844864 is 4684489905573.

The square root of 3755099844864 is 1937808.

It is a perfect power (a square), and thus also a powerful number.

3755099844864 is a `hidden beast` number, since 3 + 7 + 5 + 50 + 9 + 98 + 4 + 486 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3753983750400 + 1116094464 = 1937520^2 + 33408^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3755099844792 and 3755099844801.

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 279037624 + ... + 279051080.

Almost surely, 23755099844864 is an apocalyptic number.

3755099844864 is the 1937808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3755099844864

3755099844864 is an abundant number, since it is smaller than the sum of its proper divisors (7442760561253).

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

3755099844864 is an frugal number, since it uses more digits than its factorization.

3755099844864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26942 (or 13462 counting only the distinct ones).

The product of its (nonzero) digits is 1045094400, while the sum is 72.

The spelling of 3755099844864 in words is "three trillion, seven hundred fifty-five billion, ninety-nine million, eight hundred forty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 13457 20736 26914 40371 53828 80742 107656 121113 161484 215312 242226 322968 363339 430624 484452 645936 726678 861248 968904 1090017 1291872 1453356 1722496 1937808 2180034 2583744 2906712 3444992 3875616 4360068 5167488 5813424 7751232 8720136 10334976 11626848 15502464 17440272 23253696 31004928 34880544 46507392 69761088 93014784 139522176 181090849 279044352 362181698 543272547 724363396 1086545094 1448726792 1629817641 2173090188 2897453584 3259635282 4346180376 4889452923 5794907168 6519270564 8692360752 9778905846 11589814336 13038541128 14668358769 17384721504 19557811692 23179628672 26077082256 29336717538 34769443008 39115623384 46359257344 52154164512 58673435076 69538886016 78231246768 104308329024 117346870152 139077772032 156462493536 208616658048 234693740304 312924987072 417233316096 469387480608 625849974144 938774961216 1251699948288 1877549922432 3755099844864