Search a number
-
+
209742125280 = 2535436962761
BaseRepresentation
bin1100001101010110011…
…0101101100011100000
3202001101021210221000020
43003111212231203200
511414022441002110
6240204301353440
721103414435422
oct3032546554340
9661337727006
10209742125280
1180a50a64106
1234796268880
1316a1776a84c
14a219cb8812
1556c8894d70
hex30d59ad8e0

209742125280 has 48 divisors (see below), whose sum is σ = 660687696144. Its totient is φ = 55931233280.

The previous prime is 209742125261. The next prime is 209742125287. The reversal of 209742125280 is 82521247902.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (209742125287) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 218480901 + ... + 218481860.

It is an arithmetic number, because the mean of its divisors is an integer number (13764327003).

Almost surely, 2209742125280 is an apocalyptic number.

209742125280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

209742125280 is an abundant number, since it is smaller than the sum of its proper divisors (450945570864).

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

209742125280 is a wasteful number, since it uses less digits than its factorization.

209742125280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436962779 (or 436962771 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 209742125280 in words is "two hundred nine billion, seven hundred forty-two million, one hundred twenty-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 436962761 873925522 1310888283 1747851044 2184813805 2621776566 3495702088 4369627610 5243553132 6554441415 6991404176 8739255220 10487106264 13108882830 13982808352 17478510440 20974212528 26217765660 34957020880 41948425056 52435531320 69914041760 104871062640 209742125280