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204264097040 = 24517150194189
BaseRepresentation
bin1011111000111100010…
…1101100010100010000
3201112020111221020222102
42332033011230110100
511321313102101130
6233500532255532
720520566114543
oct2761705542420
9645214836872
10204264097040
117969a837443
12337077715a8
131635387a913
149c5a54085a
1554a79b5645
hex2f8f16c510

204264097040 has 40 divisors (see below), whose sum is σ = 502850148120. Its totient is φ = 76899424256.

The previous prime is 204264097013. The next prime is 204264097043. The reversal of 204264097040 is 40790462402.

It can be written as a sum of positive squares in 4 ways, for example, as 10466926864 + 193797170176 = 102308^2 + 440224^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 204264096985 and 204264097003.

It is not an unprimeable number, because it can be changed into a prime (204264097043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75095735 + ... + 75098454.

It is an arithmetic number, because the mean of its divisors is an integer number (12571253703).

Almost surely, 2204264097040 is an apocalyptic number.

204264097040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204264097040 is an abundant number, since it is smaller than the sum of its proper divisors (298586051080).

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

204264097040 is a wasteful number, since it uses less digits than its factorization.

204264097040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150194219 (or 150194213 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The spelling of 204264097040 in words is "two hundred four billion, two hundred sixty-four million, ninety-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 150194189 300388378 600776756 750970945 1201553512 1501941890 2403107024 2553301213 3003883780 5106602426 6007767560 10213204852 12015535120 12766506065 20426409704 25533012130 40852819408 51066024260 102132048520 204264097040