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4325191920 = 2432571931247
BaseRepresentation
bin1000000011100110…
…10011000011110000
3102011102121111220100
410001303103003300
532324222120140
61553103512400
7212116344660
oct40163230360
912142544810
104325191920
11191a504785
12a085b8700
1353c0ccb7a
142d06041a0
151a4aad530
hex101cd30f0

4325191920 has 720 divisors, whose sum is σ = 18440248320. Its totient is φ = 887086080.

The previous prime is 4325191919. The next prime is 4325191973. The reversal of 4325191920 is 291915234.

4325191920 is a `hidden beast` number, since 432 + 51 + 91 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 92025337 + ... + 92025383.

It is an arithmetic number, because the mean of its divisors is an integer number (25611456).

Almost surely, 24325191920 is an apocalyptic number.

4325191920 is a gapful number since it is divisible by the number (40) 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 4325191920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9220124160).

4325191920 is an abundant number, since it is smaller than the sum of its proper divisors (14115056400).

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

4325191920 is a wasteful number, since it uses less digits than its factorization.

4325191920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 4325191920 is about 65766.1913143828. The cubic root of 4325191920 is about 1629.3027642648.

The spelling of 4325191920 in words is "four billion, three hundred twenty-five million, one hundred ninety-one thousand, nine hundred twenty".