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82961387262963 = 32117312711459431
BaseRepresentation
bin10010110111001111110100…
…000001001001001111110011
3101212202000211201110000121100
4102313033310001021033303
541333214410114403323
6452235533555055443
723321522341410156
oct2267176401111763
9355660751400540
1082961387262963
11244857aa346aa0
12937a5808a1583
13373a2c0b4ba11
14166b4d1637c9d
1598d039371943
hex4b73f40493f3

82961387262963 has 24 divisors (see below), whose sum is σ = 130728833554176. Its totient is φ = 50278936690800.

The previous prime is 82961387262959. The next prime is 82961387262967. The reversal of 82961387262963 is 36926278316928.

It is a happy number.

82961387262963 is a `hidden beast` number, since 8 + 296 + 13 + 8 + 7 + 262 + 9 + 63 = 666.

It is an interprime number because it is at equal distance from previous prime (82961387262959) and next prime (82961387262967).

It is not a de Polignac number, because 82961387262963 - 22 = 82961387262959 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82961387262891 and 82961387262900.

It is not an unprimeable number, because it can be changed into a prime (82961387262967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1509858 + ... + 12969288.

It is an arithmetic number, because the mean of its divisors is an integer number (5447034731424).

Almost surely, 282961387262963 is an apocalyptic number.

82961387262963 is a deficient number, since it is larger than the sum of its proper divisors (47767446291213).

82961387262963 is a wasteful number, since it uses less digits than its factorization.

82961387262963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11532575 (or 11532572 counting only the distinct ones).

The product of its digits is 564350976, while the sum is 72.

The spelling of 82961387262963 in words is "eighty-two trillion, nine hundred sixty-one billion, three hundred eighty-seven million, two hundred sixty-two thousand, nine hundred sixty-three".

Divisors: 1 3 9 11 33 99 73127 219381 658143 804397 2413191 7239573 11459431 34378293 103134879 126053741 378161223 1134483669 837993810737 2513981432211 7541944296633 9217931918107 27653795754321 82961387262963