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575050916340 = 223253194727313
BaseRepresentation
bin10000101111000111011…
…01001010000111110100
32000222022021202021202200
420113203231022013310
533410201013310330
61120101424504500
756355204065535
oct10274355120764
92028267667680
10575050916340
1120197228379a
129354747b130
13422c4b40504
141db9299268c
15ee598a6a60
hex85e3b4a1f4

575050916340 has 36 divisors (see below), whose sum is σ = 1744321113444. Its totient is φ = 153346910976.

The previous prime is 575050916221. The next prime is 575050916353. The reversal of 575050916340 is 43619050575.

575050916340 is a `hidden beast` number, since 5 + 7 + 5 + 0 + 5 + 0 + 9 + 1 + 634 + 0 = 666.

575050916340 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 396431418384 + 178619497956 = 629628^2 + 422634^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 11 ways as a sum of consecutive naturals, for example, 1597363477 + ... + 1597363836.

Almost surely, 2575050916340 is an apocalyptic number.

It is an amenable number.

575050916340 is an abundant number, since it is smaller than the sum of its proper divisors (1169270197104).

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

575050916340 is a wasteful number, since it uses less digits than its factorization.

575050916340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3194727328 (or 3194727323 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 575050916340 in words is "five hundred seventy-five billion, fifty million, nine hundred sixteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 3194727313 6389454626 9584181939 12778909252 15973636565 19168363878 28752545817 31947273130 38336727756 47920909695 57505091634 63894546260 95841819390 115010183268 143762729085 191683638780 287525458170 575050916340