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273226246040 = 235111739792009
BaseRepresentation
bin1111111001110110001…
…1011010011110011000
3222010020121101101221002
43332131203122132120
513434031404333130
6325303550404132
725511541525536
oct3763543323630
9863217341832
10273226246040
11a5969102710
1244b52b00648
131c9c3c94747
14d31d395156
157191e19b45
hex3f9d8da798

273226246040 has 128 divisors (see below), whose sum is σ = 711892411200. Its totient is φ = 93274030080.

The previous prime is 273226246019. The next prime is 273226246043. The reversal of 273226246040 is 40642622372.

273226246040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2732262460402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 273226245985 and 273226246003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (273226246043) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2923556 + ... + 3015564.

Almost surely, 2273226246040 is an apocalyptic number.

273226246040 is a gapful number since it is divisible by the number (20) 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 273226246040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355946205600).

273226246040 is an abundant number, since it is smaller than the sum of its proper divisors (438666165160).

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

273226246040 is a wasteful number, since it uses less digits than its factorization.

273226246040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92445 (or 92441 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 38.

The spelling of 273226246040 in words is "two hundred seventy-three billion, two hundred twenty-six million, two hundred forty-six thousand, forty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 397 440 680 748 794 935 1496 1588 1870 1985 3176 3740 3970 4367 6749 7480 7940 8734 13498 15880 17468 21835 26996 33745 34936 43670 53992 67490 74239 87340 92009 134980 148478 174680 184018 269960 296956 368036 371195 460045 593912 736072 742390 920090 1012099 1484780 1564153 1840180 2024198 2969560 3128306 3680360 4048396 5060495 6256612 7820765 8096792 10120990 12513224 15641530 17205683 20241980 31283060 34411366 36527573 40483960 62566120 68822732 73055146 86028415 137645464 146110292 172056830 182637865 292220584 344113660 365275730 401803303 620968741 688227320 730551460 803606606 1241937482 1461102920 1607213212 2009016515 2483874964 3104843705 3214426424 4018033030 4967749928 6209687410 6830656151 8036066060 12419374820 13661312302 16072132120 24838749640 27322624604 34153280755 54645249208 68306561510 136613123020 273226246040