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204237714967 = 11137731847653
BaseRepresentation
bin1011111000110110000…
…1000011011000010111
3201112011200021220120121
42332031201003120113
511321234323334332
6233454151012411
720520125635066
oct2761541033027
9645150256517
10204237714967
1179686958180
12336ba96a107
131634b271620
149c56c341dd
1554a5503797
hex2f8d843617

204237714967 has 16 divisors (see below), whose sum is σ = 240254144928. Its totient is φ = 171166481280.

The previous prime is 204237714929. The next prime is 204237714977. The reversal of 204237714967 is 769417732402.

204237714967 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-204237714967 is a prime.

It is a super-2 number, since 2×2042377149672 (a number of 23 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 (204237714977) 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 15 ways as a sum of consecutive naturals, for example, 813288 + ... + 1034365.

It is an arithmetic number, because the mean of its divisors is an integer number (15015884058).

Almost surely, 2204237714967 is an apocalyptic number.

204237714967 is a deficient number, since it is larger than the sum of its proper divisors (36016429961).

204237714967 is a wasteful number, since it uses less digits than its factorization.

204237714967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848450.

The product of its (nonzero) digits is 3556224, while the sum is 52.

The spelling of 204237714967 in words is "two hundred four billion, two hundred thirty-seven million, seven hundred fourteen thousand, nine hundred sixty-seven".

Divisors: 1 11 13 143 773 8503 10049 110539 1847653 20324183 24019489 264214379 1428235769 15710593459 18567064997 204237714967