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10542318048 = 253312201757
BaseRepresentation
bin10011101000101111…
…10000000111100000
31000012201020020122000
421310113300013200
5133042313134143
64502034244000
7522151140063
oct116427600740
930181206560
1010542318048
11451a955649
122062726600
13cc016b222
147201b28da
1541a7d4bd3
hex2745f01e0

10542318048 has 48 divisors (see below), whose sum is σ = 30748430160. Its totient is φ = 3514105728.

The previous prime is 10542318047. The next prime is 10542318049. The reversal of 10542318048 is 84081324501.

10542318048 is a `hidden beast` number, since 1 + 0 + 542 + 31 + 80 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (10542318047) and next prime (10542318049).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×105423180482 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10542318043) 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, 6100015 + ... + 6101742.

It is an arithmetic number, because the mean of its divisors is an integer number (640592295).

Almost surely, 210542318048 is an apocalyptic number.

10542318048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10542318048 is an abundant number, since it is smaller than the sum of its proper divisors (20206112112).

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

10542318048 is a wasteful number, since it uses less digits than its factorization.

10542318048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12201776 (or 12201762 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 10542318048 in words is "ten billion, five hundred forty-two million, three hundred eighteen thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 12201757 24403514 36605271 48807028 73210542 97614056 109815813 146421084 195228112 219631626 292842168 329447439 390456224 439263252 585684336 658894878 878526504 1171368672 1317789756 1757053008 2635579512 3514106016 5271159024 10542318048