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10556665848 = 23341719311627
BaseRepresentation
bin10011101010011100…
…11110111111111000
31000020201020012010000
421311032132333320
5133110001301343
64503305553000
7522414115311
oct116516367770
930221205100
1010556665848
114527a65333
1220674a5760
13cc3122a51
14722069608
1541bbbaed3
hex27539eff8

10556665848 has 320 divisors, whose sum is σ = 34039526400. Its totient is φ = 3034506240.

The previous prime is 10556665843. The next prime is 10556665883. The reversal of 10556665848 is 84856665501.

It is a super-2 number, since 2×105566658482 (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 = 10556665794 and 10556665803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10556665843) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6487611 + ... + 6489237.

It is an arithmetic number, because the mean of its divisors is an integer number (106373520).

Almost surely, 210556665848 is an apocalyptic number.

10556665848 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 10556665848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17019763200).

10556665848 is an abundant number, since it is smaller than the sum of its proper divisors (23482860552).

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

10556665848 is a wasteful number, since it uses less digits than its factorization.

10556665848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1712 (or 1699 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 10556665848 in words is "ten billion, five hundred fifty-six million, six hundred sixty-five thousand, eight hundred forty-eight".