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45275266713600 = 211325271119239281
BaseRepresentation
bin10100100101101011110000…
…01100001000100000000000
312221022021101011221000221100
422102311320030020200000
521413242221234313400
6240143100445454400
712352013213212530
oct1222657014104000
9187267334830840
1045275266713600
1113476150810770
1250b2797271400
131c35593299101
14b274982074c0
15537aa8561100
hex292d78308800

45275266713600 has 3456 divisors, whose sum is σ = 214447274496000. Its totient is φ = 8843821056000.

The previous prime is 45275266713563. The next prime is 45275266713637. The reversal of 45275266713600 is 631766257254.

45275266713600 is a `hidden beast` number, since 4 + 5 + 2 + 7 + 5 + 26 + 6 + 7 + 1 + 3 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (45275266713563) and next prime (45275266713637).

It is a super-2 number, since 2×452752667136002 (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 161121945460 + ... + 161121945740.

It is an arithmetic number, because the mean of its divisors is an integer number (62050716000).

Almost surely, 245275266713600 is an apocalyptic number.

45275266713600 is a gapful number since it is divisible by the number (40) 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 45275266713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107223637248000).

45275266713600 is an abundant number, since it is smaller than the sum of its proper divisors (169172007782400).

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

45275266713600 is a wasteful number, since it uses less digits than its factorization.

45275266713600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 45275266713600 in words is "forty-five trillion, two hundred seventy-five billion, two hundred sixty-six million, seven hundred thirteen thousand, six hundred".