Search a number
-
+
199970046788616 = 233413198331634759
BaseRepresentation
bin101101011101111100100111…
…100110101100010000001000
3222020000221122101101021010000
4231131330213212230100020
5202202302123434213431
61545144545444123000
760056234114236566
oct5535744746542010
9866027571337100
10199970046788616
11587979032272a5
121a517650096460
13877712c7c9570
14375485d8b8a36
15181ba2e6089e6
hexb5df279ac408

199970046788616 has 640 divisors, whose sum is σ = 642920648832000. Its totient is φ = 57558260178432.

The previous prime is 199970046788459. The next prime is 199970046788651. The reversal of 199970046788616 is 616887640079991.

199970046788616 is a `hidden beast` number, since 1 + 9 + 9 + 9 + 70 + 0 + 467 + 8 + 86 + 1 + 6 = 666.

199970046788616 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1999700467886162 (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 42019339245 + ... + 42019344003.

It is an arithmetic number, because the mean of its divisors is an integer number (1004563513800).

Almost surely, 2199970046788616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199970046788616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321460324416000).

199970046788616 is an abundant number, since it is smaller than the sum of its proper divisors (442950602043384).

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

199970046788616 is a wasteful number, since it uses less digits than its factorization.

199970046788616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8055 (or 8042 counting only the distinct ones).

The product of its (nonzero) digits is 1975228416, while the sum is 81.

The spelling of 199970046788616 in words is "one hundred ninety-nine trillion, nine hundred seventy billion, forty-six million, seven hundred eighty-eight thousand, six hundred sixteen".