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8102059542 = 2324317871327
BaseRepresentation
bin1111000101110101…
…11001111000010110
3202220122110021021100
413202322321320112
5113043111401132
63415543130530
7404530240563
oct74272717026
922818407240
108102059542
113488446285
1216a1443a46
139c1728195
1456c07386a
1532645a37c
hex1e2eb9e16

8102059542 has 48 divisors (see below), whose sum is σ = 17630825472. Its totient is φ = 2688968880.

The previous prime is 8102059531. The next prime is 8102059543. The reversal of 8102059542 is 2459502018.

8102059542 is a `hidden beast` number, since 8 + 1 + 0 + 20 + 595 + 42 = 666.

It is a super-2 number, since 2×81020595422 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8102059497 and 8102059506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8102059543) 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, 6104883 + ... + 6106209.

It is an arithmetic number, because the mean of its divisors is an integer number (367308864).

Almost surely, 28102059542 is an apocalyptic number.

8102059542 is an abundant number, since it is smaller than the sum of its proper divisors (9528765930).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8102059542 is a wasteful number, since it uses less digits than its factorization.

8102059542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2553 (or 2550 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 8102059542 is about 90011.4411727754. The cubic root of 8102059542 is about 2008.4690488193.

The spelling of 8102059542 in words is "eight billion, one hundred two million, fifty-nine thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 18 431 787 862 1293 1327 1574 2361 2586 2654 3879 3981 4722 7083 7758 7962 11943 14166 23886 339197 571937 678394 1017591 1044349 1143874 1715811 2035182 2088698 3052773 3133047 3431622 5147433 6105546 6266094 9399141 10294866 18798282 450114419 900228838 1350343257 2700686514 4051029771 8102059542