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42770115170000 = 245425577167221
BaseRepresentation
bin10011011100110001100011…
…00001011000111011010000
312121102210010212022221102122
421232120301201120323100
521101221143440420000
6230544153014033412
712003016216351421
oct1156306141307320
9177383125287378
1042770115170000
111269a781aa9539
124969175048868
131ab3287538a2a
14a7c1282a5648
154e2837562085
hex26e631858ed0

42770115170000 has 100 divisors (see below), whose sum is σ = 103555393694676. Its totient is φ = 17107274880000.

The previous prime is 42770115169993. The next prime is 42770115170011. The reversal of 42770115170000 is 7151107724.

It can be written as a sum of positive squares in 10 ways, for example, as 39792226539664 + 2977888630336 = 6308108^2 + 1725656^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 255686390 + ... + 255853610.

Almost surely, 242770115170000 is an apocalyptic number.

42770115170000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42770115170000 is an abundant number, since it is smaller than the sum of its proper divisors (60785278524676).

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

42770115170000 is a wasteful number, since it uses less digits than its factorization.

42770115170000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192826 (or 192805 counting only the distinct ones).

The product of its (nonzero) digits is 13720, while the sum is 35.

Adding to 42770115170000 its reverse (7151107724), we get a palindrome (42777266277724).

The spelling of 42770115170000 in words is "forty-two trillion, seven hundred seventy billion, one hundred fifteen million, one hundred seventy thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 25577 51154 102308 127885 167221 204616 255770 334442 409232 511540 639425 668884 836105 1023080 1278850 1337768 1672210 2046160 2557700 2675536 3197125 3344420 4180525 5115400 6394250 6688840 8361050 10230800 12788500 13377680 15985625 16722100 20902625 25577000 31971250 33444200 41805250 51154000 63942500 66888400 83610500 104513125 127885000 167221000 209026250 255770000 334442000 418052500 836105000 1672210000 4277011517 8554023034 17108046068 21385057585 34216092136 42770115170 68432184272 85540230340 106925287925 171080460680 213850575850 342160921360 427701151700 534626439625 855402303400 1069252879250 1710804606800 2138505758500 2673132198125 4277011517000 5346264396250 8554023034000 10692528792500 21385057585000 42770115170000