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633745017137 = 292753561257
BaseRepresentation
bin10010011100011100010…
…01011000100100110001
32020120210210001112120202
421032032021120210301
540340402211022022
61203045523044545
763533535523121
oct11161611304461
92216723045522
10633745017137
112248515a4411
12a29a7b10755
13479b9b7857b
142295dc2ac81
1511742651592
hex938e258931

633745017137 has 6 divisors (see below), whose sum is σ = 656351855718. Its totient is φ = 611891739872.

The previous prime is 633745017127. The next prime is 633745017167. The reversal of 633745017137 is 731710547336.

It can be written as a sum of positive squares in 3 ways, for example, as 24706809856 + 609038207281 = 157184^2 + 780409^2 .

It is not a de Polignac number, because 633745017137 - 222 = 633740822833 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 633745017091 and 633745017100.

It is not an unprimeable number, because it can be changed into a prime (633745017107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 376779788 + ... + 376781469.

It is an arithmetic number, because the mean of its divisors is an integer number (109391975953).

Almost surely, 2633745017137 is an apocalyptic number.

It is an amenable number.

633745017137 is a deficient number, since it is larger than the sum of its proper divisors (22606838581).

633745017137 is an equidigital number, since it uses as much as digits as its factorization.

633745017137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753561315 (or 753561286 counting only the distinct ones).

The product of its (nonzero) digits is 1111320, while the sum is 47.

The spelling of 633745017137 in words is "six hundred thirty-three billion, seven hundred forty-five million, seventeen thousand, one hundred thirty-seven".

Divisors: 1 29 841 753561257 21853276453 633745017137