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45912489984 = 21636312
BaseRepresentation
bin101010110000100110…
…010000000000000000
311101111201110011000000
4222300212100000000
51223012044134414
633031504000000
73213516503634
oct526046200000
9141451404000
1045912489984
11185204492a9
128a94000000
134438c8b84a
14231791adc4
1512daad5b09
hexab0990000

45912489984 has 357 divisors, whose sum is σ = 142257778779. Its totient is φ = 14810480640.

The previous prime is 45912489977. The next prime is 45912490003. The reversal of 45912489984 is 48998421954.

The square root of 45912489984 is 214272.

It is a perfect power (a square), and thus also a powerful number.

45912489984 is a `hidden beast` number, since 4 + 59 + 12 + 489 + 98 + 4 = 666.

Its product of digits (29859840) is a multiple of the sum of its prime divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 1481048049 + ... + 1481048079.

Almost surely, 245912489984 is an apocalyptic number.

45912489984 is the 214272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45912489984

45912489984 is an abundant number, since it is smaller than the sum of its proper divisors (96345288795).

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

45912489984 is an frugal number, since it uses more digits than its factorization.

45912489984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 36 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 63.

The spelling of 45912489984 in words is "forty-five billion, nine hundred twelve million, four hundred eighty-nine thousand, nine hundred eighty-four".