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205354086872 = 23113763069437
BaseRepresentation
bin1011111101000000001…
…1101011000111011000
3201122001110221110221012
42333100003223013120
511331031121234442
6234201030433052
720556602636504
oct2772003530730
9648043843835
10205354086872
117a0aa034990
1233970802788
131649863520c
149d211d5304
15551d520582
hex2fd00eb1d8

205354086872 has 32 divisors (see below), whose sum is σ = 431394955920. Its totient is φ = 90819987840.

The previous prime is 205354086871. The next prime is 205354086911. The reversal of 205354086872 is 278680453502.

205354086872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 205354086872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205354086871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31531463 + ... + 31537974.

Almost surely, 2205354086872 is an apocalyptic number.

205354086872 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

205354086872 is an abundant number, since it is smaller than the sum of its proper divisors (226040869048).

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

205354086872 is a wasteful number, since it uses less digits than its factorization.

205354086872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63069491 (or 63069487 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 50.

It can be divided in two parts, 2053540 and 86872, that added together give a palindrome (2140412).

The spelling of 205354086872 in words is "two hundred five billion, three hundred fifty-four million, eighty-six thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 11 22 37 44 74 88 148 296 407 814 1628 3256 63069437 126138874 252277748 504555496 693763807 1387527614 2333569169 2775055228 4667138338 5550110456 9334276676 18668553352 25669260859 51338521718 102677043436 205354086872