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289216164492 = 22345311321319
BaseRepresentation
bin1000011010101101010…
…00000111001010001100
31000122111222020102110000
410031112220013022030
514214303314230432
6340510350044300
726616021556563
oct4152650071214
91018458212400
10289216164492
11101723a92052
1248075aa9690
132137192ac58
14ddd8c60bda
1577caabd57c
hex4356a0728c

289216164492 has 180 divisors, whose sum is σ = 777800303280. Its totient is φ = 93678294528.

The previous prime is 289216164487. The next prime is 289216164521. The reversal of 289216164492 is 294461612982.

289216164492 is a `hidden beast` number, since 2 + 8 + 92 + 1 + 6 + 1 + 64 + 492 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 219268609 + ... + 219269927.

It is an arithmetic number, because the mean of its divisors is an integer number (4321112796).

Almost surely, 2289216164492 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 289216164492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388900151640).

289216164492 is an abundant number, since it is smaller than the sum of its proper divisors (488584138788).

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

289216164492 is a wasteful number, since it uses less digits than its factorization.

289216164492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1614 (or 1490 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 289216164492 in words is "two hundred eighty-nine billion, two hundred sixteen million, one hundred sixty-four thousand, four hundred ninety-two".