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563194490040 = 23325713431732311
BaseRepresentation
bin10000011001000010000…
…00011110110010111000
31222211200222210102111200
420030201000132302320
533211410242140130
61110421124254200
755455325115160
oct10144100366270
91884628712450
10563194490040
111a7938675176
1291198841360
1341155667850
141d38a0695a0
15e9b3a46760
hex832101ecb8

563194490040 has 768 divisors, whose sum is σ = 2319496058880. Its totient is φ = 115343585280.

The previous prime is 563194490017. The next prime is 563194490051. The reversal of 563194490040 is 40094491365.

563194490040 is a `hidden beast` number, since 5 + 6 + 31 + 94 + 490 + 0 + 40 = 666.

It is a super-2 number, since 2×5631944900402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 243700485 + ... + 243702795.

It is an arithmetic number, because the mean of its divisors is an integer number (3020177160).

Almost surely, 2563194490040 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 563194490040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159748029440).

563194490040 is an abundant number, since it is smaller than the sum of its proper divisors (1756301568840).

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

563194490040 is a wasteful number, since it uses less digits than its factorization.

563194490040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2564 (or 2557 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 563194490040 in words is "five hundred sixty-three billion, one hundred ninety-four million, four hundred ninety thousand, forty".