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2028232786320 = 24325131798312967
BaseRepresentation
bin11101100000111100000…
…110000100000110010000
321011220020000210222220200
4131200330012010012100
5231212310043130240
64151431323335200
7266351333141316
oct35407406040620
97156200728820
102028232786320
11712194594044
12289103081500
131193527786b0
147024a3180b6
1537b5b8c7930
hex1d83c184190

2028232786320 has 480 divisors, whose sum is σ = 7775439340032. Its totient is φ = 469375008768.

The previous prime is 2028232786297. The next prime is 2028232786403. The reversal of 2028232786320 is 236872328202.

2028232786320 is a `hidden beast` number, since 2 + 0 + 2 + 8 + 2 + 3 + 2 + 7 + 8 + 632 + 0 = 666.

It is a super-2 number, since 2×20282327863202 (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 156408477 + ... + 156421443.

Almost surely, 22028232786320 is an apocalyptic number.

2028232786320 is a gapful number since it is divisible by the number (20) 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 2028232786320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3887719670016).

2028232786320 is an abundant number, since it is smaller than the sum of its proper divisors (5747206553712).

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

2028232786320 is a wasteful number, since it uses less digits than its factorization.

2028232786320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13999 (or 13990 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 2028232786320 in words is "two trillion, twenty-eight billion, two hundred thirty-two million, seven hundred eighty-six thousand, three hundred twenty".