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10474032333312 = 2934192331103181
BaseRepresentation
bin1001100001101010110011…
…1110100000001000000000
31101002022022022200211010000
42120122230332200020000
52333101304234131222
634135412023040000
72130503166605622
oct230325476401000
941068268624100
1010474032333312
113379015216159
121211b302a0000
135ac90a443942
14282d35676c12
151326c0e5c9ac
hex986acfa0200

10474032333312 has 1600 divisors, whose sum is σ = 35987936624640. Its totient is φ = 3015246643200.

The previous prime is 10474032333311. The next prime is 10474032333319. The reversal of 10474032333312 is 21333323047401.

10474032333312 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 4 + 0 + 3 + 2 + 333 + 312 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10474032333311) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 57867581862 + ... + 57867582042.

Almost surely, 210474032333312 is an apocalyptic number.

10474032333312 is a gapful number since it is divisible by the number (12) 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 10474032333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17993968312320).

10474032333312 is an abundant number, since it is smaller than the sum of its proper divisors (25513904291328).

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

10474032333312 is a wasteful number, since it uses less digits than its factorization.

10474032333312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 36.

The spelling of 10474032333312 in words is "ten trillion, four hundred seventy-four billion, thirty-two million, three hundred thirty-three thousand, three hundred twelve".