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205114149639 = 3377922361603
BaseRepresentation
bin1011111100000111000…
…0011000101100000111
3201121102202110101221000
42333001300120230013
511330033210242024
6234121140024343
720550630335160
oct2770160305407
9647382411830
10205114149639
1179a96654553
12339043920b3
131645aa06b19
149cdb3b8767
155507427cc9
hex2fc1c18b07

205114149639 has 64 divisors (see below), whose sum is σ = 353261977600. Its totient is φ = 115203625056.

The previous prime is 205114149613. The next prime is 205114149641. The reversal of 205114149639 is 936941411502.

205114149639 is a `hidden beast` number, since 2 + 0 + 5 + 1 + 1 + 4 + 1 + 4 + 9 + 639 = 666.

It is not a de Polignac number, because 205114149639 - 212 = 205114145543 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 205114149594 and 205114149603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205114149139) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3298812 + ... + 3360414.

It is an arithmetic number, because the mean of its divisors is an integer number (5519718400).

Almost surely, 2205114149639 is an apocalyptic number.

205114149639 is a deficient number, since it is larger than the sum of its proper divisors (148147827961).

205114149639 is a wasteful number, since it uses less digits than its factorization.

205114149639 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61921 (or 61915 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 205114149639 in words is "two hundred five billion, one hundred fourteen million, one hundred forty-nine thousand, six hundred thirty-nine".

Divisors: 1 3 7 9 21 27 63 79 189 223 237 553 669 711 1561 1659 2007 2133 4683 4977 6021 14049 14931 17617 42147 52851 61603 123319 158553 184809 369957 431221 475659 554427 1109871 1293663 1663281 3329613 3880989 4866637 11642967 13737469 14599911 34066459 41212407 43799733 96162283 102199377 123637221 131399199 288486849 306598131 370911663 865460547 919794393 1085260051 2596381641 3255780153 7596820357 9767340459 22790461071 29302021377 68371383213 205114149639