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1072175726753 = 4212822990217
BaseRepresentation
bin11111001101000101010…
…01110100000010100001
310210111110202210020100222
433212202221310002201
5120031303441224003
62140314542452425
7140314341210245
oct17464251640241
93714422706328
101072175726753
1138378627874a
12153965594115
137a14b3c6371
1439c71dbc425
151cd52d9bc38
hexf9a2a740a1

1072175726753 has 8 divisors (see below), whose sum is σ = 1074772447080. Its totient is φ = 1069579244160.

The previous prime is 1072175726731. The next prime is 1072175726759. The reversal of 1072175726753 is 3576275712701.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4460636944 + 1067715089809 = 66788^2 + 1033303^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1072175726753 is a prime.

It is a super-2 number, since 2×10721757267532 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1072175726695 and 1072175726704.

It is not an unprimeable number, because it can be changed into a prime (1072175726759) 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, 11839301 + ... + 11929517.

It is an arithmetic number, because the mean of its divisors is an integer number (134346555885).

Almost surely, 21072175726753 is an apocalyptic number.

It is an amenable number.

1072175726753 is a deficient number, since it is larger than the sum of its proper divisors (2596720327).

1072175726753 is an equidigital number, since it uses as much as digits as its factorization.

1072175726753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118867.

The product of its (nonzero) digits is 4321800, while the sum is 53.

The spelling of 1072175726753 in words is "one trillion, seventy-two billion, one hundred seventy-five million, seven hundred twenty-six thousand, seven hundred fifty-three".

Divisors: 1 421 28229 90217 11884409 37981357 2546735693 1072175726753