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276138843805269 = 323719931091340323
BaseRepresentation
bin111110110010010110010101…
…101100011001011001010101
31100012201121121210220111000100
4332302112111230121121111
5242143224323003232034
62415144233352404313
7112110241654340154
oct7662262554313125
91305647553814010
10276138843805269
117aa9390a448825
1226b796840a6699
13bb10a204bca63
144c292970db59b
1521dd011ea8099
hexfb2595b19655

276138843805269 has 48 divisors (see below), whose sum is σ = 411838674832000. Its totient is φ = 178159546147968.

The previous prime is 276138843805247. The next prime is 276138843805273. The reversal of 276138843805269 is 962508348831672.

276138843805269 is a `hidden beast` number, since 2 + 7 + 6 + 1 + 3 + 88 + 438 + 0 + 52 + 69 = 666.

It is not a de Polignac number, because 276138843805269 - 215 = 276138843772501 is a prime.

It is a super-2 number, since 2×2761388438052692 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 276138843805197 and 276138843805206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (276138843815269) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205353942 + ... + 206694264.

It is a 1-persistent number, because it is pandigital, but 2⋅276138843805269 = 552277687610538 is not.

Almost surely, 2276138843805269 is an apocalyptic number.

It is an amenable number.

276138843805269 is a deficient number, since it is larger than the sum of its proper divisors (135699831026731).

276138843805269 is a wasteful number, since it uses less digits than its factorization.

276138843805269 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343674 (or 1343671 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 276138843805269 in words is "two hundred seventy-six trillion, one hundred thirty-eight billion, eight hundred forty-three million, eight hundred five thousand, two hundred sixty-nine".

Divisors: 1 3 9 37 111 199 333 597 1791 3109 7363 9327 22089 27981 66267 115033 345099 618691 1035297 1340323 1856073 4020969 5568219 12062907 22891567 49591951 68674701 148775853 206024103 266724277 446327559 800172831 2400518493 4167064207 9868798249 12501192621 29606394747 37503577863 88819184241 154181375659 462544126977 829245777193 1387632380931 2487737331579 7463211994737 30682093756141 92046281268423 276138843805269