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1928430393120 = 25325711194572003
BaseRepresentation
bin11100000011111111011…
…010001001011100100000
320211100121122000010020100
4130003333122021130200
5223043411140034440
64033524135542400
7256216205612040
oct34037732113440
96740548003210
101928430393120
1168392a756950
122718ab52aa00
1310cb08b95b6a
146949d615720
1535269bc3230
hex1c0ff689720

1928430393120 has 1152 divisors, whose sum is σ = 8659634780160. Its totient is φ = 378602864640.

The previous prime is 1928430393119. The next prime is 1928430393121. The reversal of 1928430393120 is 213930348291.

1928430393120 is a `hidden beast` number, since 1 + 9 + 2 + 8 + 430 + 3 + 93 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (1928430393119) and next prime (1928430393121).

It is a super-2 number, since 2×19284303931202 (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1928430393121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 962770039 + ... + 962772041.

It is an arithmetic number, because the mean of its divisors is an integer number (7517044080).

Almost surely, 21928430393120 is an apocalyptic number.

1928430393120 is a gapful number since it is divisible by the number (10) 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 1928430393120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4329817390080).

1928430393120 is an abundant number, since it is smaller than the sum of its proper divisors (6731204387040).

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

1928430393120 is a wasteful number, since it uses less digits than its factorization.

1928430393120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2518 (or 2507 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 1928430393120 in words is "one trillion, nine hundred twenty-eight billion, four hundred thirty million, three hundred ninety-three thousand, one hundred twenty".