Search a number
-
+
153021651200 = 28521117127859
BaseRepresentation
bin1000111010000011001…
…1010001100100000000
3112121222100020022001222
42032200303101210000
510001342020314300
6154144105014212
714025006400655
oct2164063214400
9477870208058
10153021651200
1159994807450
12257a6784368
13115785a4852
147598bd1c2c
153ea8eed785
hex23a0cd1900

153021651200 has 216 divisors, whose sum is σ = 437492936160. Its totient is φ = 52370636800.

The previous prime is 153021651173. The next prime is 153021651221. The reversal of 153021651200 is 2156120351.

It is a super-2 number, since 2×1530216512002 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 153021651200.

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 23 ways as a sum of consecutive naturals, for example, 1132871 + ... + 1260729.

It is an arithmetic number, because the mean of its divisors is an integer number (2025430260).

Almost surely, 2153021651200 is an apocalyptic number.

153021651200 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 153021651200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218746468080).

153021651200 is an abundant number, since it is smaller than the sum of its proper divisors (284471284960).

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

153021651200 is a wasteful number, since it uses less digits than its factorization.

153021651200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127913 (or 127894 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

Adding to 153021651200 its reverse (2156120351), we get a palindrome (155177771551).

The spelling of 153021651200 in words is "one hundred fifty-three billion, twenty-one million, six hundred fifty-one thousand, two hundred".