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8746066368 = 263413267149
BaseRepresentation
bin10000010010100111…
…00110000111000000
3211120112021012120000
420021103212013000
5120402443110433
64003510320000
7426510223524
oct101123460700
924515235500
108746066368
113788a21126
121841059000
13a94c91300
145cd7d3d84
15362c6c113
hex2094e61c0

8746066368 has 420 divisors, whose sum is σ = 28684042200. Its totient is φ = 2633140224.

The previous prime is 8746066361. The next prime is 8746066403. The reversal of 8746066368 is 8636606478.

It is a super-2 number, since 2×87460663682 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8746066361) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 58698358 + ... + 58698506.

Almost surely, 28746066368 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 8746066368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14342021100).

8746066368 is an abundant number, since it is smaller than the sum of its proper divisors (19937975832).

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

8746066368 is a wasteful number, since it uses less digits than its factorization.

8746066368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The square root of 8746066368 is about 93520.4061582284. The cubic root of 8746066368 is about 2060.3338108624. Note that the first 3 decimals are identical.

The spelling of 8746066368 in words is "eight billion, seven hundred forty-six million, sixty-six thousand, three hundred sixty-eight".