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263134373130431 = 11536472711257321
BaseRepresentation
bin111011110101000110111110…
…110101101011000010111111
31021111200101210220001010210022
4323311012332311223002333
5233442143144010133211
62331350132350002355
7106265555031423155
oct7365067665530277
91244611726033708
10263134373130431
117692a72a807940
12256192551a63bb
13b3a960755791a
1448d9ab34413d5
152064ae00c6bdb
hexef51bed6b0bf

263134373130431 has 32 divisors (see below), whose sum is σ = 293033056582656. Its totient is φ = 234249512224000.

The previous prime is 263134373130403. The next prime is 263134373130437. The reversal of 263134373130431 is 134031373431362.

It is a cyclic number.

It is not a de Polignac number, because 263134373130431 - 26 = 263134373130367 is a prime.

It is a super-2 number, since 2×2631343731304312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263134373130437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1022463251 + ... + 1022720571.

It is an arithmetic number, because the mean of its divisors is an integer number (9157283018208).

Almost surely, 2263134373130431 is an apocalyptic number.

263134373130431 is a deficient number, since it is larger than the sum of its proper divisors (29898683452225).

263134373130431 is a wasteful number, since it uses less digits than its factorization.

263134373130431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260743.

The product of its (nonzero) digits is 979776, while the sum is 44.

The spelling of 263134373130431 in words is "two hundred sixty-three trillion, one hundred thirty-four billion, three hundred seventy-three million, one hundred thirty thousand, four hundred thirty-one".

Divisors: 1 11 53 583 647 2711 7117 29821 34291 143683 257321 377201 1580513 1754017 2830531 13638013 19294187 92962901 150018143 166486687 697597231 1022591911 1831353557 7673569541 8823794411 36972653243 97061738521 406699185673 451345408457 4964799493027 23921306648221 263134373130431