Search a number
-
+
153030603336012 = 223517151263233201
BaseRepresentation
bin100010110010111000110110…
…110000000110100101001100
3202001211120201212022121200000
4202302320312300012211030
5130024223133423223022
61301245142203204300
744143045003111443
oct4262706660064514
9661746655277600
10153030603336012
114483aa070a1276
12151b6433516690
13675095475705c
1429b0a13931d5a
1512a5a257286ac
hex8b2e36c0694c

153030603336012 has 288 divisors, whose sum is σ = 429192094915584. Its totient is φ = 47510115840000.

The previous prime is 153030603335957. The next prime is 153030603336041. The reversal of 153030603336012 is 210633306030351.

153030603336012 is a `hidden beast` number, since 1 + 5 + 3 + 0 + 3 + 0 + 603 + 3 + 36 + 0 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 656101012 + ... + 656334212.

It is an arithmetic number, because the mean of its divisors is an integer number (1490250329568).

Almost surely, 2153030603336012 is an apocalyptic number.

153030603336012 is a gapful number since it is divisible by the number (12) 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 153030603336012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214596047457792).

153030603336012 is an abundant number, since it is smaller than the sum of its proper divisors (276161491579572).

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

153030603336012 is a wasteful number, since it uses less digits than its factorization.

153030603336012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233651 (or 233637 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 36.

Adding to 153030603336012 its reverse (210633306030351), we get a palindrome (363663909366363).

The spelling of 153030603336012 in words is "one hundred fifty-three trillion, thirty billion, six hundred three million, three hundred thirty-six thousand, twelve".