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39985920000 = 21133541389
BaseRepresentation
bin100101001111010110…
…001011100000000000
310211012200120012101000
4211033112023200000
51123342343420000
630211433012000
72613613466145
oct451726134000
9124180505330
1039985920000
1115a5a011584
1278bb254000
133a031928c0
141d147843cc
151090655000
hex94f58b800

39985920000 has 960 divisors, whose sum is σ = 161189028000. Its totient is φ = 9732096000.

The previous prime is 39985919993. The next prime is 39985920001. The reversal of 39985920000 is 2958993.

39985920000 is a `hidden beast` number, since 399 + 8 + 59 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39985920001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 449279956 + ... + 449280044.

Almost surely, 239985920000 is an apocalyptic number.

39985920000 is a gapful number since it is divisible by the number (30) 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 39985920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80594514000).

39985920000 is an abundant number, since it is smaller than the sum of its proper divisors (121203108000).

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

39985920000 is an equidigital number, since it uses as much as digits as its factorization.

39985920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 39985920000 in words is "thirty-nine billion, nine hundred eighty-five million, nine hundred twenty thousand".