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297028892160 = 293757111353
BaseRepresentation
bin1000101001010000100…
…11010011011000000000
31001101200110021010000000
410110220103103120000
514331303344022120
6344241520000000
730313436632350
oct4245023233000
91041613233000
10297028892160
11104a7307aa80
1249696460000
1322018422030
141053a6dab60
157ad6925990
hex45284d3600

297028892160 has 2560 divisors, whose sum is σ = 1461146480640. Its totient is φ = 55897620480.

The previous prime is 297028892159. The next prime is 297028892179. The reversal of 297028892160 is 61298820792.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 297028892097 and 297028892106.

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 255 ways as a sum of consecutive naturals, for example, 5604318694 + ... + 5604318746.

It is an arithmetic number, because the mean of its divisors is an integer number (570760344).

Almost surely, 2297028892160 is an apocalyptic number.

297028892160 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 297028892160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730573240320).

297028892160 is an abundant number, since it is smaller than the sum of its proper divisors (1164117588480).

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

297028892160 is an equidigital number, since it uses as much as digits as its factorization.

297028892160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 297028892160 in words is "two hundred ninety-seven billion, twenty-eight million, eight hundred ninety-two thousand, one hundred sixty".