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205263622088 = 23764672
BaseRepresentation
bin1011111100101010101…
…0100100111111001000
3201121211011201101120122
42333022222210333020
511330334441401323
6234144035442412
720554424000000
oct2771252447710
9647734641518
10205263622088
117a062a663a8
1233946456408
131648297c865
149d131a7000
155515600ec8
hex2fcaaa4fc8

205263622088 has 84 divisors (see below), whose sum is σ = 449977172235. Its totient is φ = 87781750896.

The previous prime is 205263622009. The next prime is 205263622139. The reversal of 205263622088 is 880226362502.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 102631811044 + 102631811044 = 320362^2 + 320362^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=320362.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 439536431 + ... + 439536897.

Almost surely, 2205263622088 is an apocalyptic number.

205263622088 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205263622088

205263622088 is an abundant number, since it is smaller than the sum of its proper divisors (244713550147).

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

205263622088 is an frugal number, since it uses more digits than its factorization.

205263622088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 44.

The spelling of 205263622088 in words is "two hundred five billion, two hundred sixty-three million, six hundred twenty-two thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 343 392 467 686 934 1372 1868 2401 2744 3269 3736 4802 6538 9604 13076 16807 19208 22883 26152 33614 45766 67228 91532 117649 134456 160181 183064 218089 235298 320362 436178 470596 640724 872356 941192 1121267 1281448 1526623 1744712 2242534 3053246 4485068 6106492 7848869 8970136 10686361 12212984 15697738 21372722 31395476 42745444 54942083 62790952 74804527 85490888 109884166 149609054 219768332 299218108 439536664 523631689 598436216 1047263378 2094526756 3665421823 4189053512 7330843646 14661687292 25657952761 29323374584 51315905522 102631811044 205263622088