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492196134150 = 233527319717321
BaseRepresentation
bin1110010100110010010…
…11001111110100000110
31202001102222212020211000
413022121023033310012
531031004202243100
61014040051154130
750363036053020
oct7123113176406
91661388766730
10492196134150
1117a814982596
127b4835a5946
133754c43a486
1419b72a13010
15cc0a97b900
hex72992cfd06

492196134150 has 384 divisors, whose sum is σ = 1616616529920. Its totient is φ = 107744256000.

The previous prime is 492196134127. The next prime is 492196134163. The reversal of 492196134150 is 51431691294.

492196134150 is a `hidden beast` number, since 4 + 9 + 2 + 19 + 613 + 4 + 15 + 0 = 666.

492196134150 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 492196134096 and 492196134105.

It is a congruent number.

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, 28407490 + ... + 28424810.

It is an arithmetic number, because the mean of its divisors is an integer number (4209938880).

Almost surely, 2492196134150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 492196134150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808308264960).

492196134150 is an abundant number, since it is smaller than the sum of its proper divisors (1124420395770).

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

492196134150 is a wasteful number, since it uses less digits than its factorization.

492196134150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17477 (or 17466 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 492196134150 in words is "four hundred ninety-two billion, one hundred ninety-six million, one hundred thirty-four thousand, one hundred fifty".