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275404726632213 = 3217277457128311083
BaseRepresentation
bin111110100111101010101000…
…111001100111111100010101
31100010010102201220221010020100
4332213222220321213330111
5242044212340004212323
62413423103525524313
7112003222602332613
oct7647525071477425
91303112656833210
10275404726632213
117a830541441042
1226a7b345873699
13ba897289c2069
144c01934a566b3
1521c8d97b08943
hexfa7aa8e67f15

275404726632213 has 96 divisors (see below), whose sum is σ = 424021299002496. Its totient is φ = 171652972621824.

The previous prime is 275404726632187. The next prime is 275404726632229. The reversal of 275404726632213 is 312236627404572.

It is a happy number.

275404726632213 is a `hidden beast` number, since 2 + 7 + 5 + 4 + 0 + 47 + 266 + 322 + 13 = 666.

It is not a de Polignac number, because 275404726632213 - 222 = 275404722437909 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 275404726632213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (275404726632293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24849288570 + ... + 24849299652.

It is an arithmetic number, because the mean of its divisors is an integer number (4416888531276).

Almost surely, 2275404726632213 is an apocalyptic number.

It is an amenable number.

275404726632213 is a deficient number, since it is larger than the sum of its proper divisors (148616572370283).

275404726632213 is a wasteful number, since it uses less digits than its factorization.

275404726632213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13123 (or 13120 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 54.

The spelling of 275404726632213 in words is "two hundred seventy-five trillion, four hundred four billion, seven hundred twenty-six million, six hundred thirty-two thousand, two hundred thirteen".

Divisors: 1 3 9 17 51 153 277 457 831 1283 1371 2493 3849 4113 4709 7769 11083 11547 14127 21811 23307 33249 42381 65433 69921 99747 126589 188411 196299 355391 379767 565233 586331 1066173 1139301 1695699 1758993 2152013 3069991 3198519 5064931 5276979 6041647 6456039 9209973 9967627 14219489 15194793 18124941 19368117 27629919 29902881 42658467 45584379 52189847 54374823 86103827 89708643 127975401 156569541 162413687 241731313 258311481 469708623 487241061 725193939 774934443 1402985887 1461723183 2175581817 2761032679 3938798453 4208957661 6498306473 8283098037 11816395359 12626872983 19494919419 23850760079 24849294111 35449186077 58484758257 66959573701 71552280237 110471210041 200878721103 214656840711 331413630123 602636163309 994240890369 1800030893021 5400092679063 16200278037189 30600525181357 91801575544071 275404726632213