Search a number
-
+
203360157468 = 223613172811123
BaseRepresentation
bin1011110101100100110…
…1011011111100011100
3201102220112000101000000
42331121031123330130
511312440200014333
6233231121534300
720456311550316
oct2753115337434
9642815011000
10203360157468
1179276564246
12334b4aa4390
131623b505030
149bb247a7b6
15545345b713
hex2f5935bf1c

203360157468 has 336 divisors, whose sum is σ = 611130786336. Its totient is φ = 58629795840.

The previous prime is 203360157389. The next prime is 203360157479. The reversal of 203360157468 is 864751063302.

203360157468 is a `hidden beast` number, since 2 + 0 + 3 + 36 + 0 + 157 + 468 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 181085955 + ... + 181087077.

It is an arithmetic number, because the mean of its divisors is an integer number (1818841626).

Almost surely, 2203360157468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203360157468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305565393168).

203360157468 is an abundant number, since it is smaller than the sum of its proper divisors (407770628868).

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

203360157468 is a wasteful number, since it uses less digits than its factorization.

203360157468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 203360157468 in words is "two hundred three billion, three hundred sixty million, one hundred fifty-seven thousand, four hundred sixty-eight".