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283799121984 = 2634741512
BaseRepresentation
bin1000010000100111011…
…11101111000001000000
31000010112110010011010000
410020103233233001000
514122210033400414
6334213040040000
726334543510000
oct4102357570100
91003473104100
10283799121984
11aa3a4229914
1247003903000
13209ba571861
14da43640000
1575b0238b09
hex4213bef040

283799121984 has 525 divisors, whose sum is σ = 987965221551. Its totient is φ = 80548473600.

The previous prime is 283799121979. The next prime is 283799121989. The reversal of 283799121984 is 489121997382.

The square root of 283799121984 is 532728.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (283799121979) and next prime (283799121989).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (283799121989) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 1879464309 + ... + 1879464459.

Almost surely, 2283799121984 is an apocalyptic number.

283799121984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

283799121984 is the 532728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 283799121984

283799121984 is an abundant number, since it is smaller than the sum of its proper divisors (704166099567).

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

283799121984 is an frugal number, since it uses more digits than its factorization.

283799121984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 163 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 63.

The spelling of 283799121984 in words is "two hundred eighty-three billion, seven hundred ninety-nine million, one hundred twenty-one thousand, nine hundred eighty-four".