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2273656064032 = 254159314592003
BaseRepresentation
bin100001000101100000011…
…101100100100000100000
322001100201000000021100001
4201011200131210200200
5244222421423022112
64500300404105344
7323160213445363
oct41054035444040
98040630007301
102273656064032
117a7285635081
12308796995254
131365355aa592
147c08cd6c0da
153e2229eac57
hex21160764820

2273656064032 has 96 divisors (see below), whose sum is σ = 4598612948160. Its totient is φ = 1105918894080.

The previous prime is 2273656064023. The next prime is 2273656064033. The reversal of 2273656064032 is 2304606563722.

It is not an unprimeable number, because it can be changed into a prime (2273656064033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1135124343 + ... + 1135126345.

It is an arithmetic number, because the mean of its divisors is an integer number (47902218210).

Almost surely, 22273656064032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2273656064032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2299306474080).

2273656064032 is an abundant number, since it is smaller than the sum of its proper divisors (2324956884128).

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

2273656064032 is a wasteful number, since it uses less digits than its factorization.

2273656064032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4106 (or 4098 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 46.

The spelling of 2273656064032 in words is "two trillion, two hundred seventy-three billion, six hundred fifty-six million, sixty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 32 41 82 164 328 593 656 1186 1312 1459 2003 2372 2918 4006 4744 5836 8012 9488 11672 16024 18976 23344 24313 32048 46688 48626 59819 64096 82123 97252 119638 164246 194504 239276 328492 389008 478552 656984 778016 865187 957104 1187779 1313968 1730374 1914208 2375558 2627936 2922377 3460748 4751116 5844754 6921496 9502232 11689508 13842992 19004464 23379016 27685984 35472667 38008928 46758032 48698939 70945334 93516064 97397878 119817457 141890668 194795756 239634914 283781336 389591512 479269828 567562672 779183024 958539656 1135125344 1558366048 1732969561 1917079312 3465939122 3834158624 6931878244 13863756488 27727512976 55455025952 71051752001 142103504002 284207008004 568414016008 1136828032016 2273656064032