Search a number
-
+
206865418274480 = 2457373998797147
BaseRepresentation
bin101111000010010010011011…
…110001011100011010110000
31000010110010210200100000111002
4233002102123301130122300
5204103240334034240410
62011544354453341132
761400350623636230
oct5702223361343260
91003403720300432
10206865418274480
115aa06149711349
121b24baa20377a8
138b5742c7235a4
1439124a808dcc0
1518db09e5967a5
hexbc249bc5c6b0

206865418274480 has 80 divisors (see below), whose sum is σ = 549817984277760. Its totient is φ = 70906316495616.

The previous prime is 206865418274477. The next prime is 206865418274491. The reversal of 206865418274480 is 84472814568602.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47304734 + ... + 51492413.

It is an arithmetic number, because the mean of its divisors is an integer number (6872724803472).

Almost surely, 2206865418274480 is an apocalyptic number.

206865418274480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206865418274480 is an abundant number, since it is smaller than the sum of its proper divisors (342952566003280).

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

206865418274480 is a wasteful number, since it uses less digits than its factorization.

206865418274480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98800906 (or 98800900 counting only the distinct ones).

The product of its (nonzero) digits is 165150720, while the sum is 65.

The spelling of 206865418274480 in words is "two hundred six trillion, eight hundred sixty-five billion, four hundred eighteen million, two hundred seventy-four thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 3739 7478 14956 18695 26173 29912 37390 52346 59824 74780 104692 130865 149560 209384 261730 299120 418768 523460 1046920 2093840 98797147 197594294 395188588 493985735 691580029 790377176 987971470 1383160058 1580754352 1975942940 2766320116 3457900145 3951885880 5532640232 6915800290 7903771760 11065280464 13831600580 27663201160 55326402320 369402532633 738805065266 1477610130532 1847012663165 2585817728431 2955220261064 3694025326330 5171635456862 5910440522128 7388050652660 10343270913724 12929088642155 14776101305320 20686541827448 25858177284310 29552202610640 41373083654896 51716354568620 103432709137240 206865418274480