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9987774080 = 275193779281
BaseRepresentation
bin10010100110101000…
…10101011010000000
3221210001202111022112
421103110111122000
5130423332232310
64331024354452
7502335451604
oct112324253200
927701674275
109987774080
114265924549
121b28a75a28
13c322c96bb
146aa69d504
153d6c95705
hex253515680

9987774080 has 256 divisors, whose sum is σ = 26232768000. Its totient is φ = 3622993920.

The previous prime is 9987774073. The next prime is 9987774103. The reversal of 9987774080 is 804777899.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 35543540 + ... + 35543820.

It is an arithmetic number, because the mean of its divisors is an integer number (102471750).

Almost surely, 29987774080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9987774080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13116384000).

9987774080 is an abundant number, since it is smaller than the sum of its proper divisors (16244993920).

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

9987774080 is a wasteful number, since it uses less digits than its factorization.

9987774080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 59.

The square root of 9987774080 is about 99938.8517044297. The cubic root of 9987774080 is about 2153.5563337719.

The spelling of 9987774080 in words is "nine billion, nine hundred eighty-seven million, seven hundred seventy-four thousand, eighty".