Search a number
-
+
153045200000 = 27557114969
BaseRepresentation
bin1000111010001000110…
…1000110110010000000
3112122000222112200221202
42032202031012302000
510001414032400000
6154150305440332
714025413510240
oct2164215066200
9478028480852
10153045200000
11599a7030a70
12257b26400a8
131158042b354
14759bda1b20
153eab100dd5
hex23a2346c80

153045200000 has 384 divisors, whose sum is σ = 475225833600. Its totient is φ = 47692800000.

The previous prime is 153045199973. The next prime is 153045200003. The reversal of 153045200000 is 2540351.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (153045200003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30797516 + ... + 30802484.

It is an arithmetic number, because the mean of its divisors is an integer number (1237567275).

Almost surely, 2153045200000 is an apocalyptic number.

153045200000 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 153045200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237612916800).

153045200000 is an abundant number, since it is smaller than the sum of its proper divisors (322180633600).

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

153045200000 is an frugal number, since it uses more digits than its factorization.

153045200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5026 (or 4994 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

Adding to 153045200000 its reverse (2540351), we get a palindrome (153047740351).

The spelling of 153045200000 in words is "one hundred fifty-three billion, forty-five million, two hundred thousand".