Search a number
-
+
209979049230720 = 27345711193124367
BaseRepresentation
bin101111101111100110001110…
…101000111100000110000000
31000112110210121222021221220000
4233233212032220330012000
5210010244043100340340
62022331013222520000
762141325405246120
oct5757461650740600
91015423558257800
10209979049230720
11609a668416a310
121b67341a896000
139021c29a7b7b3
1439bd07c496c80
151942084a5bd30
hexbef98ea3c180

209979049230720 has 7680 divisors, whose sum is σ = 1056060666777600. Its totient is φ = 38488736563200.

The previous prime is 209979049230683. The next prime is 209979049230737. The reversal of 209979049230720 is 27032940979902.

209979049230720 is a `hidden beast` number, since 2 + 0 + 9 + 9 + 7 + 90 + 492 + 30 + 7 + 20 = 666.

209979049230720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2099790492307202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 3134015660127 + ... + 3134015660193.

It is an arithmetic number, because the mean of its divisors is an integer number (137507899320).

Almost surely, 2209979049230720 is an apocalyptic number.

209979049230720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 209979049230720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528030333388800).

209979049230720 is an abundant number, since it is smaller than the sum of its proper divisors (846081617546880).

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

209979049230720 is a wasteful number, since it uses less digits than its factorization.

209979049230720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 30862944, while the sum is 63.

The spelling of 209979049230720 in words is "two hundred nine trillion, nine hundred seventy-nine billion, forty-nine million, two hundred thirty thousand, seven hundred twenty".