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10745012275200 = 211335273173143
BaseRepresentation
bin1001110001011100010010…
…1000111100100000000000
31102001012202101021011001000
42130113010220330200000
52402021241120301300
634504105051412000
72156205264243000
oct234270450744000
942035671234030
1010745012275200
113472a30342255
121256556a54000
135cc333c13918
142920c057a000
15139780a60c00
hex9c5c4a3c800

10745012275200 has 4608 divisors, whose sum is σ = 51476705280000. Its totient is φ = 2184944025600.

The previous prime is 10745012275147. The next prime is 10745012275201. The reversal of 10745012275200 is 257221054701.

10745012275200 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 5 + 0 + 122 + 7 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (10745012275201) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 249884006379 + ... + 249884006421.

It is an arithmetic number, because the mean of its divisors is an integer number (11171160000).

Almost surely, 210745012275200 is an apocalyptic number.

10745012275200 is a gapful number since it is divisible by the number (10) 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 10745012275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25738352640000).

10745012275200 is an abundant number, since it is smaller than the sum of its proper divisors (40731693004800).

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

10745012275200 is a wasteful number, since it uses less digits than its factorization.

10745012275200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The spelling of 10745012275200 in words is "ten trillion, seven hundred forty-five billion, twelve million, two hundred seventy-five thousand, two hundred".