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8102463381 = 3217291826113
BaseRepresentation
bin1111000101111000…
…11100011110010101
3202220200012210020100
413202330130132111
5113043212312011
63415555524313
7404533542135
oct74274343625
922820183210
108102463381
1134886a1731
1216a15b9699
139c1839c3c
1456c13aac5
153264d9d56
hex1e2f1c795

8102463381 has 24 divisors (see below), whose sum is σ = 12819320280. Its totient is φ = 4908589056.

The previous prime is 8102463361. The next prime is 8102463427. The reversal of 8102463381 is 1833642018.

8102463381 is a `hidden beast` number, since 8 + 10 + 2 + 4 + 633 + 8 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2854764900 + 5247698481 = 53430^2 + 72441^2 .

It is not a de Polignac number, because 8102463381 - 225 = 8068908949 is a prime.

It is a super-2 number, since 2×81024633812 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8102463301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 908620 + ... + 917493.

It is an arithmetic number, because the mean of its divisors is an integer number (534138345).

Almost surely, 28102463381 is an apocalyptic number.

It is an amenable number.

8102463381 is a deficient number, since it is larger than the sum of its proper divisors (4716856899).

8102463381 is a wasteful number, since it uses less digits than its factorization.

8102463381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826165 (or 1826162 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 8102463381 is about 90013.6844096496. The cubic root of 8102463381 is about 2008.5024183040.

The spelling of 8102463381 in words is "eight billion, one hundred two million, four hundred sixty-three thousand, three hundred eighty-one".

Divisors: 1 3 9 17 29 51 87 153 261 493 1479 4437 1826113 5478339 16435017 31043921 52957277 93131763 158871831 279395289 476615493 900273709 2700821127 8102463381