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445680086365140 = 223511977199682303
BaseRepresentation
bin110010101010101111111101…
…1001110110011001111010100
32011110000121012111210012001120
41211111133323032303033110
5431404010304102141030
64215514334414523540
7162606216004334334
oct14525377316631724
92143017174705046
10445680086365140
1111a009954996250
1241b9b9532065b0
131618b5b481a3c3
147c0b061b6b0c4
15367d266268010
hex19557fb3b33d4

445680086365140 has 192 divisors, whose sum is σ = 1377297674403840. Its totient is φ = 106781073960960.

The previous prime is 445680086365091. The next prime is 445680086365229. The reversal of 445680086365140 is 41563680086544.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41189229 + ... + 50871531.

It is an arithmetic number, because the mean of its divisors is an integer number (7173425387520).

Almost surely, 2445680086365140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445680086365140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688648837201920).

445680086365140 is an abundant number, since it is smaller than the sum of its proper divisors (931617588038700).

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

445680086365140 is a wasteful number, since it uses less digits than its factorization.

445680086365140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9683142 (or 9683140 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 60.

The spelling of 445680086365140 in words is "four hundred forty-five trillion, six hundred eighty billion, eighty-six million, three hundred sixty-five thousand, one hundred forty".