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283488952114368 = 2632711132972723321
BaseRepresentation
bin100000001110101001110101…
…0010010011101110011000000
31101011202021112111102022220200
41000131103222102131303000
5244124140333220124433
62442533005434205200
7113466254336205540
oct10035235222356300
91334667474368820
10283488952114368
1182367a97a21670
1227966084583800
13c224b7cc79510
145000d1d31b320
1522b92e8ea2613
hex101d4ea49dcc0

283488952114368 has 1344 divisors, whose sum is σ = 1130224629381120. Its totient is φ = 65532528230400.

The previous prime is 283488952114367. The next prime is 283488952114451. The reversal of 283488952114368 is 863411259884382.

283488952114368 is a `hidden beast` number, since 2 + 8 + 3 + 4 + 8 + 89 + 521 + 14 + 3 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 283488952114296 and 283488952114305.

It is not an unprimeable number, because it can be changed into a prime (283488952114367) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12155940148 + ... + 12155963468.

It is an arithmetic number, because the mean of its divisors is an integer number (840940944480).

Almost surely, 2283488952114368 is an apocalyptic number.

283488952114368 is a gapful number since it is divisible by the number (28) 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 283488952114368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565112314690560).

283488952114368 is an abundant number, since it is smaller than the sum of its proper divisors (846735677266752).

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

283488952114368 is a wasteful number, since it uses less digits than its factorization.

283488952114368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24126 (or 24113 counting only the distinct ones).

The product of its digits is 637009920, while the sum is 72.

The spelling of 283488952114368 in words is "two hundred eighty-three trillion, four hundred eighty-eight billion, nine hundred fifty-two million, one hundred fourteen thousand, three hundred sixty-eight".