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45142134570 = 233513293171399
BaseRepresentation
bin101010000010101011…
…100100111100101010
311022112000220001001000
4222002223210330222
51214422341301240
632423224335430
73155443545531
oct520253447452
9138460801030
1045142134570
1118165615935
1288ba014576
1343454b7c40
1422834ab318
151293167430
hexa82ae4f2a

45142134570 has 256 divisors, whose sum is σ = 134628480000. Its totient is φ = 10687251456.

The previous prime is 45142134563. The next prime is 45142134619. The reversal of 45142134570 is 7543124154.

45142134570 is a `hidden beast` number, since 4 + 51 + 4 + 2 + 1 + 34 + 570 = 666.

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 127 ways as a sum of consecutive naturals, for example, 32266731 + ... + 32268129.

It is an arithmetic number, because the mean of its divisors is an integer number (525892500).

Almost surely, 245142134570 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45142134570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67314240000).

45142134570 is an abundant number, since it is smaller than the sum of its proper divisors (89486345430).

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

45142134570 is a wasteful number, since it uses less digits than its factorization.

45142134570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 45142134570 in words is "forty-five billion, one hundred forty-two million, one hundred thirty-four thousand, five hundred seventy".