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2275463639296 = 2829232512
BaseRepresentation
bin100001000111001100001…
…100111011000100000000
322001112100222021121110001
4201013030030323010000
5244240122142424141
64501200014445344
7323253052543201
oct41071414730400
98045328247401
102275463639296
117a80229a3131
12309000203854
13136762c20643
147c1c10575a8
153e2cb54da31
hex211cc33b100

2275463639296 has 81 divisors (see below), whose sum is σ = 4705508937493. Its totient is φ = 1098161792000.

The previous prime is 2275463639291. The next prime is 2275463639297. The reversal of 2275463639296 is 6929363645722.

The square root of 2275463639296 is 1508464.

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

It can be written as a sum of positive squares in only one way, i.e., 1193197936896 + 1082265702400 = 1092336^2 + 1040320^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2275463639291) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 699925671 + ... + 699928921.

Almost surely, 22275463639296 is an apocalyptic number.

2275463639296 is the 1508464-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2275463639296

2275463639296 is an abundant number, since it is smaller than the sum of its proper divisors (2430045298197).

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

2275463639296 is an frugal number, since it uses more digits than its factorization.

2275463639296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6576 (or 3282 counting only the distinct ones).

The product of its digits is 176359680, while the sum is 64.

Multiplying 2275463639296 by its sum of digits (64), we get a square (145629672914944 = 120677122).

2275463639296 divided by its sum of digits (64) gives a square (35554119364 = 1885582).

The spelling of 2275463639296 in words is "two trillion, two hundred seventy-five billion, four hundred sixty-three million, six hundred thirty-nine thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 841 928 1682 1856 3251 3364 3712 6502 6728 7424 13004 13456 26008 26912 52016 53824 94279 104032 107648 188558 208064 215296 377116 416128 754232 832256 1508464 2734091 3016928 5468182 6033856 10569001 10936364 12067712 21138002 21872728 24135424 42276004 43745456 84552008 87490912 169104016 174981824 306501029 338208032 349963648 613002058 676416064 699927296 1226004116 1352832128 2452008232 2705664256 4904016464 8888529841 9808032928 17777059682 19616065856 35554119364 39232131712 71108238728 78464263424 142216477456 284432954912 568865909824 1137731819648 2275463639296