Search a number
-
+
203252055552 = 29327131997263
BaseRepresentation
bin1011110101001011000…
…1000011111000000000
3201102121222121020001100
42331102301003320000
511312230011234202
6233212300534400
720453526652350
oct2752261037000
9642558536040
10203252055552
1179220539717
1233484851400
1316221cb58c0
149ba1d7ab60
155448c0641c
hex2f52c43e00

203252055552 has 960 divisors, whose sum is σ = 770720670720. Its totient is φ = 50068979712.

The previous prime is 203252055499. The next prime is 203252055581. The reversal of 203252055552 is 255550252302.

203252055552 is a `hidden beast` number, since 2 + 0 + 3 + 2 + 52 + 0 + 55 + 552 = 666.

203252055552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2032520555522 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

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, 772821373 + ... + 772821635.

It is an arithmetic number, because the mean of its divisors is an integer number (802834032).

Almost surely, 2203252055552 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 203252055552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385360335360).

203252055552 is an abundant number, since it is smaller than the sum of its proper divisors (567468615168).

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

203252055552 is a wasteful number, since it uses less digits than its factorization.

203252055552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 150000, while the sum is 36.

The spelling of 203252055552 in words is "two hundred three billion, two hundred fifty-two million, fifty-five thousand, five hundred fifty-two".