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10671446016 = 2113271173103
BaseRepresentation
bin10011111000001000…
…10101100000000000
31000112201012121220100
421330010111200000
5133323342233031
64522530042400
7525306536340
oct117404254000
930481177810
1010671446016
114586831380
122099a19400
131010b3caca
147333c6d20
15426cdede6
hex27c115800

10671446016 has 576 divisors, whose sum is σ = 39330869760. Its totient is φ = 2707292160.

The previous prime is 10671446003. The next prime is 10671446017. The reversal of 10671446016 is 61064417601.

It is a happy number.

10671446016 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 1 + 44 + 601 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×106714460162 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10671446017) by changing a digit.

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, 103606221 + ... + 103606323.

It is an arithmetic number, because the mean of its divisors is an integer number (68282760).

Almost surely, 210671446016 is an apocalyptic number.

10671446016 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 10671446016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19665434880).

10671446016 is an abundant number, since it is smaller than the sum of its proper divisors (28659423744).

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

10671446016 is a wasteful number, since it uses less digits than its factorization.

10671446016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 10671446016 in words is "ten billion, six hundred seventy-one million, four hundred forty-six thousand, sixteen".