Search a number
-
+
203249958912 = 214367111317
BaseRepresentation
bin1011110101001010100…
…1000100000000000000
3201102121211122201000000
42331102221010000000
511312223442141122
6233212144000000
720453503100610
oct2752251040000
9642554581000
10203249958912
117921a337460
1233484000000
13162217304a0
149ba1992a40
1554489400ac
hex2f52a44000

203249958912 has 1680 divisors, whose sum is σ = 866420295552. Its totient is φ = 45864714240.

The previous prime is 203249958889. The next prime is 203249958937. The reversal of 203249958912 is 219859942302.

203249958912 is a `hidden beast` number, since 2 + 0 + 3 + 2 + 49 + 9 + 589 + 12 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 11955879928 + ... + 11955879944.

Almost surely, 2203249958912 is an apocalyptic number.

203249958912 is a gapful number since it is divisible by the number (22) 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 203249958912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433210147776).

203249958912 is an abundant number, since it is smaller than the sum of its proper divisors (663170336640).

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

203249958912 is an equidigital number, since it uses as much as digits as its factorization.

203249958912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 203249958912 in words is "two hundred three billion, two hundred forty-nine million, nine hundred fifty-eight thousand, nine hundred twelve".