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206261401632 = 253111315024869
BaseRepresentation
bin1100000000011000100…
…0110011100000100000
3201201101201012211210120
43000012020303200200
511334410404323012
6234431041400240
720621230662156
oct3000610634040
9651351184716
10206261401632
117a5252029a0
1233b84639080
13165b15c0160
149da98d73d6
155572ee458c
hex3006233820

206261401632 has 96 divisors (see below), whose sum is σ = 636092896320. Its totient is φ = 57695493120.

The previous prime is 206261401603. The next prime is 206261401639. The reversal of 206261401632 is 236104162602.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 206261401593 and 206261401602.

It is not an unprimeable number, because it can be changed into a prime (206261401639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7498707 + ... + 7526162.

It is an arithmetic number, because the mean of its divisors is an integer number (6625967670).

Almost surely, 2206261401632 is an apocalyptic number.

206261401632 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

206261401632 is an abundant number, since it is smaller than the sum of its proper divisors (429831494688).

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

206261401632 is a wasteful number, since it uses less digits than its factorization.

206261401632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15024906 (or 15024898 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 206261401632 in words is "two hundred six billion, two hundred sixty-one million, four hundred one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 132 143 156 176 208 264 286 312 352 416 429 528 572 624 858 1056 1144 1248 1716 2288 3432 4576 6864 13728 15024869 30049738 45074607 60099476 90149214 120198952 165273559 180298428 195323297 240397904 330547118 360596856 390646594 480795808 495820677 585969891 661094236 721193712 781293188 991641354 1171939782 1322188472 1442387424 1562586376 1983282708 2148556267 2343879564 2644376944 3125172752 3966565416 4297112534 4687759128 5288753888 6250345504 6445668801 7933130832 8594225068 9375518256 12891337602 15866261664 17188450136 18751036512 25782675204 34376900272 51565350408 68753800544 103130700816 206261401632