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10883911680 = 2123125
BaseRepresentation
bin10100010001011101…
…10101000000000000
31001002112000000000000
422020232311000000
5134242240133210
65000000000000
7533466502635
oct121056650000
931075000000
1010883911680
114685758a34
122139000000
131045b70035
147536d218c
1543a7acac0
hex288bb5000

10883911680 has 338 divisors, whose sum is σ = 39177274506. Its totient is φ = 2902376448.

The previous prime is 10883911669. The next prime is 10883911691. The reversal of 10883911680 is 8611938801.

It is an interprime number because it is at equal distance from previous prime (10883911669) and next prime (10883911691).

It can be written as a sum of positive squares in only one way, i.e., 8707129344 + 2176782336 = 93312^2 + 46656^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 25 ways as a sum of consecutive naturals, for example, 2176782334 + ... + 2176782338.

Almost surely, 210883911680 is an apocalyptic number.

10883911680 is a gapful number since it is divisible by the number (10) 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 10883911680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19588637253).

10883911680 is an abundant number, since it is smaller than the sum of its proper divisors (28293362826).

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

10883911680 is an frugal number, since it uses more digits than its factorization.

10883911680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

Multiplying 10883911680 by its sum of digits (45), we get a square (489776025600 = 6998402).

10883911680 divided by its sum of digits (45) gives a square (241864704 = 155522).

The spelling of 10883911680 in words is "ten billion, eight hundred eighty-three million, nine hundred eleven thousand, six hundred eighty".