Search a number
-
+
158810082900 = 223527231563619
BaseRepresentation
bin1001001111100111010…
…0011000111001010100
3120011220202012002121020
42103321310120321110
510100220340123100
6200542323121140
714321314301100
oct2237164307124
9504822162536
10158810082900
11613951738a7
12269412131b0
1311c8b895971
14798788a900
1541e72945a0
hex24f9d18e54

158810082900 has 432 divisors, whose sum is σ = 553624565760. Its totient is φ = 35009452800.

The previous prime is 158810082883. The next prime is 158810082983. The reversal of 158810082900 is 9280018851.

158810082900 is digitally balanced in base 2, 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 (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 256558791 + ... + 256559409.

Almost surely, 2158810082900 is an apocalyptic number.

158810082900 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 158810082900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276812282880).

158810082900 is an abundant number, since it is smaller than the sum of its proper divisors (394814482860).

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

158810082900 is a wasteful number, since it uses less digits than its factorization.

158810082900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 42.

The spelling of 158810082900 in words is "one hundred fifty-eight billion, eight hundred ten million, eighty-two thousand, nine hundred".