Search a number
-
+
191690244900 = 2233527112109769
BaseRepresentation
bin1011001010000110100…
…0010000001100100100
3200022210020000101111000
42302201220100030210
511120040200314100
6224021123113300
716564156124520
oct2624150201444
9608706011430
10191690244900
1174328167200
1231198812830
13150cb87401b
1493c6624d80
154ebdb8e900
hex2ca1a10324

191690244900 has 864 divisors, whose sum is σ = 782248544000. Its totient is φ = 39414988800.

The previous prime is 191690244881. The next prime is 191690244923. The reversal of 191690244900 is 9442096191.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 249271716 + ... + 249272484.

Almost surely, 2191690244900 is an apocalyptic number.

191690244900 is a gapful number since it is divisible by the number (10) 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 191690244900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391124272000).

191690244900 is an abundant number, since it is smaller than the sum of its proper divisors (590558299100).

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

191690244900 is a wasteful number, since it uses less digits than its factorization.

191690244900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 191690244900 in words is "one hundred ninety-one billion, six hundred ninety million, two hundred forty-four thousand, nine hundred".