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45273310992 = 243371347107229
BaseRepresentation
bin101010001010011111…
…111110011100010000
311022212011201111021000
4222022133332130100
51220204431422432
632444232102000
73161625536220
oct521237763420
9138764644230
1045273310992
11182226706a8
128935b34900
134366726020
142296a96080
15129e92957c
hexa8a7fe710

45273310992 has 640 divisors, whose sum is σ = 165589401600. Its totient is φ = 11526395904.

The previous prime is 45273310987. The next prime is 45273311011. The reversal of 45273310992 is 29901337254.

45273310992 is a `hidden beast` number, since 4 + 527 + 3 + 31 + 0 + 9 + 92 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 197699934 + ... + 197700162.

It is an arithmetic number, because the mean of its divisors is an integer number (258733440).

Almost surely, 245273310992 is an apocalyptic number.

45273310992 is a gapful number since it is divisible by the number (42) 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 45273310992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82794700800).

45273310992 is an abundant number, since it is smaller than the sum of its proper divisors (120316090608).

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

45273310992 is a wasteful number, since it uses less digits than its factorization.

45273310992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 45273310992 in words is "forty-five billion, two hundred seventy-three million, three hundred ten thousand, nine hundred ninety-two".