Search a number
-
+
198980509770 = 23357261793121
BaseRepresentation
bin1011100101010000101…
…0011010000001001010
3201000121021221012211000
42321110022122001022
511230003002303040
6231224350515430
720242631266200
oct2712412320112
9630537835730
10198980509770
1177429346099
1232692205b76
13159c1049913
1498b893d070
155298be3130
hex2e5429a04a

198980509770 has 384 divisors, whose sum is σ = 635509324800. Its totient is φ = 44155238400.

The previous prime is 198980509703. The next prime is 198980509789. The reversal of 198980509770 is 77905089891.

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

It is a junction number, because it is equal to n+sod(n) for n = 198980509698 and 198980509707.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 63753810 + ... + 63756930.

It is an arithmetic number, because the mean of its divisors is an integer number (1654972200).

Almost surely, 2198980509770 is an apocalyptic number.

198980509770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 198980509770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317754662400).

198980509770 is an abundant number, since it is smaller than the sum of its proper divisors (436528815030).

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

198980509770 is a wasteful number, since it uses less digits than its factorization.

198980509770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3291 (or 3278 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 63.

The spelling of 198980509770 in words is "one hundred ninety-eight billion, nine hundred eighty million, five hundred nine thousand, seven hundred seventy".