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6756675601 = 13263232
BaseRepresentation
bin1100100101011101…
…01011000000010001
3122102212212200110111
412102232223000101
5102314202104401
63034243001321
7326302536454
oct62256530021
918385780414
106756675601
112957a70425
121386969241
13838a8cc00
144814db49b
152982a2e51
hex192bab011

6756675601 has 9 divisors (see below), whose sum is σ = 7317557499. Its totient is φ = 6235944936.

The previous prime is 6756675571. The next prime is 6756675617. The reversal of 6756675601 is 1065766576.

It is a happy number.

The square root of 6756675601 is 82199.

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

It can be written as a sum of positive squares in only one way, i.e., 999508225 + 5757167376 = 31615^2 + 75876^2 .

It is not a de Polignac number, because 6756675601 - 213 = 6756667409 is a prime.

It is a super-2 number, since 2×67566756012 = 91305330354297422402, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6756675631) 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, 1065426 + ... + 1071748.

Almost surely, 26756675601 is an apocalyptic number.

6756675601 is the 82199-th square number.

6756675601 is the 41100-th centered octagonal number.

It is an amenable number.

6756675601 is a deficient number, since it is larger than the sum of its proper divisors (560881898).

6756675601 is an frugal number, since it uses more digits than its factorization.

6756675601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12672 (or 6336 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 49.

The cubic root of 6756675601 is about 1890.5043866251.

Multiplying 6756675601 by its sum of digits (49), we get a square (331077104449 = 5753932).

The spelling of 6756675601 in words is "six billion, seven hundred fifty-six million, six hundred seventy-five thousand, six hundred one".

Divisors: 1 13 169 6323 82199 1068587 39980329 519744277 6756675601