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10227856608 = 2533171275483
BaseRepresentation
bin10011000011010000…
…01011010011100000
3222101210111221122000
421201220023103200
5131421312402413
64410522244000
7511312226634
oct114150132340
928353457560
1010227856608
1143793a4062
121b95356600
13c6cc78c78
146d0516dc4
153ecdbb073
hex261a0b4e0

10227856608 has 192 divisors, whose sum is σ = 31840542720. Its totient is φ = 3182893056.

The previous prime is 10227856603. The next prime is 10227856627. The reversal of 10227856608 is 80665872201.

10227856608 is a `hidden beast` number, since 10 + 2 + 2 + 78 + 566 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10227856603) 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 31 ways as a sum of consecutive naturals, for example, 1862635 + ... + 1868117.

It is an arithmetic number, because the mean of its divisors is an integer number (165836160).

Almost surely, 210227856608 is an apocalyptic number.

10227856608 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 10227856608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15920271360).

10227856608 is an abundant number, since it is smaller than the sum of its proper divisors (21612686112).

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

10227856608 is a wasteful number, since it uses less digits than its factorization.

10227856608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5646 (or 5632 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 10227856608 in words is "ten billion, two hundred twenty-seven million, eight hundred fifty-six thousand, six hundred eight".