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297890266144 = 25173143547751
BaseRepresentation
bin1000101010110111010…
…01001011110000100000
31001110220111002102222011
410111123221023300200
514340034402004034
6344503210122304
730343666324642
oct4253351136040
91043814072864
10297890266144
1110537531aaa9
1249896a20394
1322124a13393
14105bcc80892
157b37372864
hex455ba4bc20

297890266144 has 192 divisors, whose sum is σ = 657982144512. Its totient is φ = 132088320000.

The previous prime is 297890266129. The next prime is 297890266181. The reversal of 297890266144 is 441662098792.

It is a super-2 number, since 2×2978902661442 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 396657769 + ... + 396658519.

It is an arithmetic number, because the mean of its divisors is an integer number (3426990336).

Almost surely, 2297890266144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 297890266144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328991072256).

297890266144 is an abundant number, since it is smaller than the sum of its proper divisors (360091878368).

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

297890266144 is a wasteful number, since it uses less digits than its factorization.

297890266144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 58.

The spelling of 297890266144 in words is "two hundred ninety-seven billion, eight hundred ninety million, two hundred sixty-six thousand, one hundred forty-four".