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203263919104 = 2107321932
BaseRepresentation
bin1011110101001101111…
…0010100010000000000
3201102122210220221210011
42331103132110100000
511312241030402404
6233213403114304
720454032543101
oct2752336242000
9642583827704
10203263919104
1179227201a04
1233488812994
13162245aa75c
149ba37883a8
155449c9b604
hex2f53794400

203263919104 has 99 divisors (see below), whose sum is σ = 414117370863. Its totient is φ = 99720364032.

The previous prime is 203263919099. The next prime is 203263919107. The reversal of 203263919104 is 401919362302.

The square root of 203263919104 is 450848.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 8253359104 + 195010560000 = 90848^2 + 441600^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (203263919107) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1053180832 + ... + 1053181024.

Almost surely, 2203263919104 is an apocalyptic number.

203263919104 is the 450848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203263919104

203263919104 is an abundant number, since it is smaller than the sum of its proper divisors (210853451759).

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

203263919104 is an frugal number, since it uses more digits than its factorization.

203263919104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 40.

The spelling of 203263919104 in words is "two hundred three billion, two hundred sixty-three million, nine hundred nineteen thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 73 128 146 193 256 292 386 512 584 772 1024 1168 1544 2336 3088 4672 5329 6176 9344 10658 12352 14089 18688 21316 24704 28178 37249 37376 42632 49408 56356 74498 74752 85264 98816 112712 148996 170528 197632 225424 297992 341056 450848 595984 682112 901696 1028497 1191968 1364224 1803392 2056994 2383936 2719177 2728448 3606784 4113988 4767872 5438354 5456896 7213568 8227976 9535744 10876708 14427136 16455952 19071488 21753416 32911904 38142976 43506832 65823808 87013664 131647616 174027328 198499921 263295232 348054656 396999842 526590464 696109312 793999684 1053180928 1392218624 1587999368 2784437248 3175998736 6351997472 12703994944 25407989888 50815979776 101631959552 203263919104