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10987342848 = 21034139953
BaseRepresentation
bin10100011101110010…
…11000110000000000
31001100201121211220000
422032321120300000
5140000224432343
65014132520000
7536163605346
oct121671306000
931321554800
1010987342848
114729083339
122167780000
131061415501
14763337996
154448dded3
hex28ee58c00

10987342848 has 220 divisors, whose sum is σ = 33081075720. Its totient is φ = 3632283648.

The previous prime is 10987342841. The next prime is 10987342853. The reversal of 10987342848 is 84824378901.

It is a happy number.

10987342848 is a `hidden beast` number, since 109 + 8 + 73 + 428 + 48 = 666.

It is a super-2 number, since 2×109873428482 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 10987342794 and 10987342803.

It is not an unprimeable number, because it can be changed into a prime (10987342841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11528740 + ... + 11529692.

It is an arithmetic number, because the mean of its divisors is an integer number (150368526).

Almost surely, 210987342848 is an apocalyptic number.

10987342848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10987342848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16540537860).

10987342848 is an abundant number, since it is smaller than the sum of its proper divisors (22093732872).

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

10987342848 is an equidigital number, since it uses as much as digits as its factorization.

10987342848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 10987342848 in words is "ten billion, nine hundred eighty-seven million, three hundred forty-two thousand, eight hundred forty-eight".