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6830146881 = 34618571613
BaseRepresentation
bin1100101110001101…
…11100010101000001
3122122000010102010000
412113012330111001
5102442004200011
63045425430213
7331154201445
oct62706742501
918560112100
106830146881
112995492498
1213a749b369
1384b07573c
1448b184825
1529e967356
hex1971bc541

6830146881 has 40 divisors (see below), whose sum is σ = 10388859624. Its totient is φ = 4470785280.

The previous prime is 6830146877. The next prime is 6830146937. The reversal of 6830146881 is 1886410386.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1082081025 + 5748065856 = 32895^2 + 75816^2 .

It is not a de Polignac number, because 6830146881 - 22 = 6830146877 is a prime.

It is a super-2 number, since 2×68301468812 = 93301812832068056322, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (6830146181) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4233631 + ... + 4235243.

Almost surely, 26830146881 is an apocalyptic number.

6830146881 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

6830146881 is a deficient number, since it is larger than the sum of its proper divisors (3558712743).

6830146881 is a wasteful number, since it uses less digits than its factorization.

6830146881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2543 (or 2534 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 6830146881 is about 82644.7026796031. The cubic root of 6830146881 is about 1897.3320709391.

The spelling of 6830146881 in words is "six billion, eight hundred thirty million, one hundred forty-six thousand, eight hundred eighty-one".

Divisors: 1 3 9 27 61 81 183 549 857 1613 1647 2571 4839 4941 7713 14517 23139 43551 52277 69417 98393 130653 156831 295179 470493 885537 1382341 1411479 2656611 4147023 4234437 7969833 12441069 37323207 84322801 111969621 252968403 758905209 2276715627 6830146881