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562083876480 = 273572171953349
BaseRepresentation
bin10000010110111101100…
…11110100111010000000
31222201211120222102010010
420023132303310322000
533202121433021410
61110115012104520
755415651055600
oct10133663647200
91881746872103
10562083876480
111a7418770825
1290b28905140
134100953bc69
141d2c2766c00
15e94b2b5c20
hex82decf4e80

562083876480 has 1536 divisors, whose sum is σ = 2373507360000. Its totient is φ = 112071278592.

The previous prime is 562083876467. The next prime is 562083876521. The reversal of 562083876480 is 84678380265.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 562083876480.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1610555346 + ... + 1610555694.

Almost surely, 2562083876480 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 562083876480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186753680000).

562083876480 is an abundant number, since it is smaller than the sum of its proper divisors (1811423483520).

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

562083876480 is a wasteful number, since it uses less digits than its factorization.

562083876480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 57.

The spelling of 562083876480 in words is "five hundred sixty-two billion, eighty-three million, eight hundred seventy-six thousand, four hundred eighty".