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45727997952 = 2133721323127
BaseRepresentation
bin101010100101100110…
…011110000000000000
311101000212021222111210
4222211212132000000
51222122331413302
633001313410120
73206116366200
oct524546360000
9141025258453
1045727997952
111843629874a
128a42269940
1344099a4170
1422db214400
1512c97e166c
hexaa599e000

45727997952 has 672 divisors, whose sum is σ = 160648814592. Its totient is φ = 11444944896.

The previous prime is 45727997947. The next prime is 45727997957. The reversal of 45727997952 is 25979972754.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (45727997947) and next prime (45727997957).

It is a tau number, because it is divible by the number of its divisors (672).

Its product of digits (100018800) is a multiple of the sum of its prime divisors (175).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45727997957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 360062913 + ... + 360063039.

It is an arithmetic number, because the mean of its divisors is an integer number (239060736).

Almost surely, 245727997952 is an apocalyptic number.

45727997952 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 45727997952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80324407296).

45727997952 is an abundant number, since it is smaller than the sum of its proper divisors (114920816640).

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

45727997952 is a wasteful number, since it uses less digits than its factorization.

45727997952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 175 counting only the distinct ones).

The product of its digits is 100018800, while the sum is 66.

The spelling of 45727997952 in words is "forty-five billion, seven hundred twenty-seven million, nine hundred ninety-seven thousand, nine hundred fifty-two".