Search a number
-
+
203943240800640 = 27325119733183517
BaseRepresentation
bin101110010111110000111100…
…011011000001100110000000
3222202002210011002212200110200
4232113300330123001212000
5203212401224121110030
62001430121552525200
760646261425144405
oct5627607433014600
9882083132780420
10203943240800640
1159a8992a7083a0
121aa59696850800
1389a49c3b83043
143850c96a7a2ac
15188a0720a3d60
hexb97c3c6c1980

203943240800640 has 384 divisors, whose sum is σ = 776183723471520. Its totient is φ = 48931085352960.

The previous prime is 203943240800587. The next prime is 203943240800659. The reversal of 203943240800640 is 46008042349302.

203943240800640 is a `hidden beast` number, since 203 + 9 + 4 + 32 + 408 + 0 + 0 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10445839 + ... + 22737678.

Almost surely, 2203943240800640 is an apocalyptic number.

203943240800640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203943240800640 is an abundant number, since it is smaller than the sum of its proper divisors (572240482670880).

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

203943240800640 is a wasteful number, since it uses less digits than its factorization.

203943240800640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33183650 (or 33183635 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 203943240800640 in words is "two hundred three trillion, nine hundred forty-three billion, two hundred forty million, eight hundred thousand, six hundred forty".