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45142637760 = 263251117109769
BaseRepresentation
bin101010000010101101…
…011111110011000000
311022112001211121021200
4222002231133303000
51214423003402020
632423243221200
73155451042543
oct520255376300
9138461747250
1045142637760
11181659299a0
1288ba217800
134345632c9c
14228359c85a
151293216590
hexa82b5fcc0

45142637760 has 672 divisors, whose sum is σ = 181232251200. Its totient is φ = 10192158720.

The previous prime is 45142637737. The next prime is 45142637783. The reversal of 45142637760 is 6773624154.

45142637760 is a `hidden beast` number, since 4 + 5 + 1 + 4 + 2 + 637 + 7 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (45142637737) and next prime (45142637783).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58702656 + ... + 58703424.

It is an arithmetic number, because the mean of its divisors is an integer number (269690850).

Almost surely, 245142637760 is an apocalyptic number.

45142637760 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 45142637760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90616125600).

45142637760 is an abundant number, since it is smaller than the sum of its proper divisors (136089613440).

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

45142637760 is a wasteful number, since it uses less digits than its factorization.

45142637760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 45142637760 in words is "forty-five billion, one hundred forty-two million, six hundred thirty-seven thousand, seven hundred sixty".