Search a number
-
+
202866105040 = 2455942980107
BaseRepresentation
bin1011110011101111000…
…0110001101011010000
3201101122002100220110221
42330323300301223100
511310432210330130
6233110112402424
720441132304244
oct2747360615320
9641562326427
10202866105040
117904269a355
1233397546414
1316190053111
149b669d2424
155424dba87a
hex2f3bc31ad0

202866105040 has 40 divisors (see below), whose sum is σ = 479658005280. Its totient is φ = 79771076736.

The previous prime is 202866105023. The next prime is 202866105053. The reversal of 202866105040 is 40501668202.

202866105040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 202866104987 and 202866105005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21485334 + ... + 21494773.

It is an arithmetic number, because the mean of its divisors is an integer number (11991450132).

Almost surely, 2202866105040 is an apocalyptic number.

202866105040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202866105040 is an abundant number, since it is smaller than the sum of its proper divisors (276791900240).

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

202866105040 is a wasteful number, since it uses less digits than its factorization.

202866105040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42980179 (or 42980173 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 202866105040 in words is "two hundred two billion, eight hundred sixty-six million, one hundred five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 118 236 295 472 590 944 1180 2360 4720 42980107 85960214 171920428 214900535 343840856 429801070 687681712 859602140 1719204280 2535826313 3438408560 5071652626 10143305252 12679131565 20286610504 25358263130 40573221008 50716526260 101433052520 202866105040