Search a number
-
+
153055180200 = 2335213195092029
BaseRepresentation
bin1000111010001011001…
…1001011010110101000
3112122001200022202012210
42032202303023112220
510001424111231300
6154151303405120
714025564365106
oct2164263132650
9478050282183
10153055180200
1159a0172826a
12257b5a537a0
1311582513bb0
14759d43cc76
153eabe23050
hex23a2ccb5a8

153055180200 has 384 divisors, whose sum is σ = 539184240000. Its totient is φ = 35604541440.

The previous prime is 153055180189. The next prime is 153055180207. The reversal of 153055180200 is 2081550351.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (153055180207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75432786 + ... + 75434814.

It is an arithmetic number, because the mean of its divisors is an integer number (1404125625).

Almost surely, 2153055180200 is an apocalyptic number.

153055180200 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 153055180200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269592120000).

153055180200 is an abundant number, since it is smaller than the sum of its proper divisors (386129059800).

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

153055180200 is a wasteful number, since it uses less digits than its factorization.

153055180200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2589 (or 2580 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

The spelling of 153055180200 in words is "one hundred fifty-three billion, fifty-five million, one hundred eighty thousand, two hundred".