Search a number
-
+
203389317632 = 2919210492
BaseRepresentation
bin1011110101101011110…
…0101011001000000000
3201102222112212212020002
42331122330223020000
511313020131131012
6233234042535132
720460114450344
oct2753274531000
9642875785202
10203389317632
1179290a70756
12335028074a8
1316244574977
149bb62ab624
155455cbb7c2
hex2f5af2b200

203389317632 has 90 divisors (see below), whose sum is σ = 429304846113. Its totient is φ = 96250466304.

The previous prime is 203389317629. The next prime is 203389317647. The reversal of 203389317632 is 236713983302.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 160781752576 + 42607565056 = 400976^2 + 206416^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=318896.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 193888244 + ... + 193889292.

Almost surely, 2203389317632 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 203389317632

203389317632 is an abundant number, since it is smaller than the sum of its proper divisors (225915528481).

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

203389317632 is an frugal number, since it uses more digits than its factorization.

203389317632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2154 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 47.

The spelling of 203389317632 in words is "two hundred three billion, three hundred eighty-nine million, three hundred seventeen thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 361 512 608 722 1049 1216 1444 2098 2432 2888 4196 4864 5776 8392 9728 11552 16784 19931 23104 33568 39862 46208 67136 79724 92416 134272 159448 184832 268544 318896 378689 537088 637792 757378 1100401 1275584 1514756 2200802 2551168 3029512 4401604 5102336 6059024 8803208 10204672 12118048 17606416 20907619 24236096 35212832 41815238 48472192 70425664 83630476 96944384 140851328 167260952 193888768 281702656 334521904 397244761 563405312 669043808 794489522 1338087616 1588979044 2676175232 3177958088 5352350464 6355916176 10704700928 12711832352 25423664704 50847329408 101694658816 203389317632