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561988094976 = 21033711277953
BaseRepresentation
bin10000010110110010001…
…10011100110000000000
31222201120220202012121000
420023121012130300000
533201422423014401
61110101311132000
755413405663330
oct10133106346000
91881526665530
10561988094976
111a73796a0760
1290b00814000
1340cc2744609
141d2b3b530c0
15e942b96186
hex82d919cc00

561988094976 has 704 divisors, whose sum is σ = 2084693621760. Its totient is φ = 145291345920.

The previous prime is 561988094963. The next prime is 561988094981. The reversal of 561988094976 is 679490889165.

561988094976 is a `hidden beast` number, since 56 + 1 + 9 + 8 + 80 + 9 + 497 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 589703716 + ... + 589704668.

Almost surely, 2561988094976 is an apocalyptic number.

561988094976 is a gapful number since it is divisible by the number (56) 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 561988094976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042346810880).

561988094976 is an abundant number, since it is smaller than the sum of its proper divisors (1522705526784).

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

561988094976 is a wasteful number, since it uses less digits than its factorization.

561988094976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 72.

The spelling of 561988094976 in words is "five hundred sixty-one billion, nine hundred eighty-eight million, ninety-four thousand, nine hundred seventy-six".