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538263357753 = 311671267119213
BaseRepresentation
bin1111101010100101111…
…11110000100100111001
31220110100111110200102210
413311102333300210321
532304330404422003
61051135203445333
753613445023252
oct7652277604471
91813314420383
10538263357753
111983046a6510
128839b386849
133b9b1494674
141c0a2ccbb29
15e004e29503
hex7d52ff0939

538263357753 has 32 divisors (see below), whose sum is σ = 794718093312. Its totient is φ = 321309172800.

The previous prime is 538263357743. The next prime is 538263357761. The reversal of 538263357753 is 357753362835.

It is a happy number.

It is not a de Polignac number, because 538263357753 - 220 = 538262309177 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 538263357693 and 538263357702.

It is not an unprimeable number, because it can be changed into a prime (538263357743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28005975 + ... + 28025187.

It is an arithmetic number, because the mean of its divisors is an integer number (24834940416).

Almost surely, 2538263357753 is an apocalyptic number.

It is an amenable number.

538263357753 is a deficient number, since it is larger than the sum of its proper divisors (256454735559).

538263357753 is a wasteful number, since it uses less digits than its factorization.

538263357753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31965.

The product of its digits is 47628000, while the sum is 57.

The spelling of 538263357753 in words is "five hundred thirty-eight billion, two hundred sixty-three million, three hundred fifty-seven thousand, seven hundred fifty-three".

Divisors: 1 3 11 33 67 201 737 2211 12671 19213 38013 57639 139381 211343 418143 634029 848957 1287271 2546871 3861813 9338527 14159981 28015581 42479943 243447923 730343769 2677927153 8033781459 16311010841 48933032523 179421119251 538263357753