Search a number
-
+
203469605080560 = 2433571322329313851
BaseRepresentation
bin101110010000110111110101…
…100010001000110111110000
3222200102111121121201011021000
4232100313311202020313300
5203132121222400034220
62000424351323402000
760600123331020630
oct5620676542106760
9880374547634230
10203469605080560
1159916a7a698695
121a9a1933083300
13896c141ac1800
143835da50946c0
15187caa0cce390
hexb90df5888df0

203469605080560 has 3840 divisors, whose sum is σ = 966680071372800. Its totient is φ = 38358448128000.

The previous prime is 203469605080481. The next prime is 203469605080601. The reversal of 203469605080560 is 65080506964302.

203469605080560 is a `hidden beast` number, since 2 + 0 + 3 + 46 + 96 + 0 + 508 + 0 + 5 + 6 + 0 = 666.

203469605080560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 203469605080497 and 203469605080506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 52835522635 + ... + 52835526485.

It is an arithmetic number, because the mean of its divisors is an integer number (251739601920).

Almost surely, 2203469605080560 is an apocalyptic number.

203469605080560 is a gapful number since it is divisible by the number (20) 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 203469605080560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483340035686400).

203469605080560 is an abundant number, since it is smaller than the sum of its proper divisors (763210466292240).

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

203469605080560 is a wasteful number, since it uses less digits than its factorization.

203469605080560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3989 (or 3964 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 203469605080560 in words is "two hundred three trillion, four hundred sixty-nine billion, six hundred five million, eighty thousand, five hundred sixty".