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920203697268 = 2232173397372173
BaseRepresentation
bin11010110010000000110…
…10100001110001110100
310020222012120121020121100
431121000122201301310
5110034034121303033
61542422530450100
7123324335241012
oct15310032416164
93228176536540
10920203697268
1132528aaa7669
1212a412433930
1368a0c413b6b
14327767738b2
1518e0b0d2513
hexd6406a1c74

920203697268 has 72 divisors (see below), whose sum is σ = 2345415240168. Its totient is φ = 304192551168.

The previous prime is 920203697221. The next prime is 920203697291. The reversal of 920203697268 is 862796302029.

It is a happy number.

920203697268 is a `hidden beast` number, since 9 + 202 + 0 + 369 + 72 + 6 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 133438245264 + 786765452004 = 365292^2 + 886998^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2286430 + ... + 2658602.

It is an arithmetic number, because the mean of its divisors is an integer number (32575211669).

Almost surely, 2920203697268 is an apocalyptic number.

It is an amenable number.

920203697268 is an abundant number, since it is smaller than the sum of its proper divisors (1425211542900).

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

920203697268 is a wasteful number, since it uses less digits than its factorization.

920203697268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372753 (or 372748 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 920203697268 in words is "nine hundred twenty billion, two hundred three million, six hundred ninety-seven thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 173 346 397 519 692 794 1038 1191 1557 1588 2076 2382 3114 3573 4764 6228 7146 14292 68681 137362 206043 274724 372173 412086 618129 744346 824172 1116519 1236258 1488692 2233038 2472516 3349557 4466076 6699114 13398228 64385929 128771858 147752681 193157787 257543716 295505362 386315574 443258043 579473361 591010724 772631148 886516086 1158946722 1329774129 1773032172 2317893444 2659548258 5319096516 25561213813 51122427626 76683641439 102244855252 153367282878 230050924317 306734565756 460101848634 920203697268