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2269971912257 = 72397116690069
BaseRepresentation
bin100001000010000100110…
…111101001011001000001
322001000012020121222012022
4201002010313221121001
5244142400302143012
64454451040011225
7323000006616200
oct41020467513101
98030166558168
102269971912257
117a5764a6a345
12307b29000b15
1313609924540a
147bc1d955237
153e0a9365472
hex21084de9641

2269971912257 has 12 divisors (see below), whose sum is σ = 2647230928020. Its totient is φ = 1940789210976.

The previous prime is 2269971912199. The next prime is 2269971912317. The reversal of 2269971912257 is 7522191799622.

It can be written as a sum of positive squares in 2 ways, for example, as 1694693654416 + 575278257841 = 1301804^2 + 758471^2 .

It is not a de Polignac number, because 2269971912257 - 212 = 2269971908161 is a prime.

It is a super-3 number, since 3×22699719122573 (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2269971912257.

It is not an unprimeable number, because it can be changed into a prime (2269971912757) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58325582 + ... + 58364487.

It is an arithmetic number, because the mean of its divisors is an integer number (220602577335).

Almost surely, 22269971912257 is an apocalyptic number.

It is an amenable number.

2269971912257 is a deficient number, since it is larger than the sum of its proper divisors (377259015763).

2269971912257 is a wasteful number, since it uses less digits than its factorization.

2269971912257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116690480 (or 116690473 counting only the distinct ones).

The product of its digits is 17146080, while the sum is 62.

The spelling of 2269971912257 in words is "two trillion, two hundred sixty-nine billion, nine hundred seventy-one million, nine hundred twelve thousand, two hundred fifty-seven".

Divisors: 1 7 49 397 2779 19453 116690069 816830483 5717813381 46325957393 324281701751 2269971912257