Search a number
-
+
203093888904 = 23325397548677
BaseRepresentation
bin1011110100100101010…
…1101100111110001000
3201102012221222112012100
42331021111230332020
511311414013421104
6233144450513400
720446566400164
oct2751125547610
9642187875170
10203093888904
117914a229785
123343b895860
13161c82b777a
149b88d67ca4
155439db2139
hex2f4956cf88

203093888904 has 96 divisors (see below), whose sum is σ = 566202775320. Its totient is φ = 65735774208.

The previous prime is 203093888903. The next prime is 203093888911. The reversal of 203093888904 is 409888390302.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 133223540004 + 69870348900 = 364998^2 + 264330^2 .

It is not an unprimeable number, because it can be changed into a prime (203093888903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95814 + ... + 644490.

Almost surely, 2203093888904 is an apocalyptic number.

203093888904 is a gapful number since it is divisible by the number (24) 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 203093888904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283101387660).

203093888904 is an abundant number, since it is smaller than the sum of its proper divisors (363108886416).

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

203093888904 is a wasteful number, since it uses less digits than its factorization.

203093888904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548839 (or 548832 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 203093888904 in words is "two hundred three billion, ninety-three million, eight hundred eighty-eight thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 97 106 159 194 212 291 318 388 424 477 582 636 776 873 954 1164 1272 1746 1908 2328 3492 3816 5141 6984 10282 15423 20564 30846 41128 46269 61692 92538 123384 185076 370152 548677 1097354 1646031 2194708 3292062 4389416 4938093 6584124 9876186 13168248 19752372 29079881 39504744 53221669 58159762 87239643 106443338 116319524 159665007 174479286 212886676 232639048 261718929 319330014 348958572 425773352 478995021 523437858 638660028 697917144 957990042 1046875716 1277320056 1915980084 2093751432 2820748457 3831960168 5641496914 8462245371 11282993828 16924490742 22565987656 25386736113 33848981484 50773472226 67697962968 101546944452 203093888904