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3937319883420 = 223571131175915629
BaseRepresentation
bin111001010010111010100…
…011011001001010011100
3111221101220120222212101220
4321102322203121022130
51004002112342232140
612212440233333340
7554314312544340
oct71227243311234
914841816885356
103937319883420
111288898479330
125370b4567250
13227398027161
14d87d2951620
156c6432edbd0
hex394ba8d929c

3937319883420 has 384 divisors, whose sum is σ = 14197181644800. Its totient is φ = 791251891200.

The previous prime is 3937319883353. The next prime is 3937319883433. The reversal of 3937319883420 is 243889137393.

3937319883420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 127 ways as a sum of consecutive naturals, for example, 251916166 + ... + 251931794.

It is an arithmetic number, because the mean of its divisors is an integer number (36971827200).

Almost surely, 23937319883420 is an apocalyptic number.

3937319883420 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 3937319883420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7098590822400).

3937319883420 is an abundant number, since it is smaller than the sum of its proper divisors (10259861761380).

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

3937319883420 is a wasteful number, since it uses less digits than its factorization.

3937319883420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17449 (or 17447 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 60.

The spelling of 3937319883420 in words is "three trillion, nine hundred thirty-seven billion, three hundred nineteen million, eight hundred eighty-three thousand, four hundred twenty".