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10874704896 = 210351129137
BaseRepresentation
bin10100010000010111…
…01101010000000000
31001001212200020200000
422020023231100000
5134232411024041
64555030400000
7533325315666
oct121013552000
931055606600
1010874704896
11468053a820
122135b00000
131043c98533
147523b6c36
15439a8ebb6
hex2882ed400

10874704896 has 528 divisors, whose sum is σ = 37016965440. Its totient is φ = 3158507520.

The previous prime is 10874704879. The next prime is 10874704921. The reversal of 10874704896 is 69840747801.

It is a happy number.

10874704896 is a `hidden beast` number, since 1 + 0 + 87 + 470 + 4 + 8 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

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

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 47 ways as a sum of consecutive naturals, for example, 79377340 + ... + 79377476.

Almost surely, 210874704896 is an apocalyptic number.

10874704896 is a gapful number since it is divisible by the number (16) 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 10874704896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18508482720).

10874704896 is an abundant number, since it is smaller than the sum of its proper divisors (26142260544).

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

10874704896 is a wasteful number, since it uses less digits than its factorization.

10874704896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 10874704896 in words is "ten billion, eight hundred seventy-four million, seven hundred four thousand, eight hundred ninety-six".