Search a number
-
+
203496640956 = 223371930746147
BaseRepresentation
bin1011110110000101011…
…0000101000110111100
3201110021000211110011000
42331201112011012330
511313230120002311
6233252435130300
720462556623340
oct2754126050674
9643230743130
10203496640956
1179336604314
1233532743990
13162608808ab
149bc6647620
15546041b056
hex2f615851bc

203496640956 has 192 divisors, whose sum is σ = 636768563200. Its totient is φ = 54901188288.

The previous prime is 203496640951. The next prime is 203496641009. The reversal of 203496640956 is 659046694302.

203496640956 is a `hidden beast` number, since 2 + 0 + 3 + 496 + 64 + 0 + 95 + 6 = 666.

203496640956 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203496640951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4386675 + ... + 4432821.

Almost surely, 2203496640956 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 203496640956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318384281600).

203496640956 is an abundant number, since it is smaller than the sum of its proper divisors (433271922244).

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

203496640956 is a wasteful number, since it uses less digits than its factorization.

203496640956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46493 (or 46485 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 203496640956 in words is "two hundred three billion, four hundred ninety-six million, six hundred forty thousand, nine hundred fifty-six".