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545575680000 = 2113254133643
BaseRepresentation
bin1111111000001101101…
…10000011100000000000
31221011020002220010210200
413330012312003200000
532414314333230000
61054344540125200
754262605523101
oct7740666034000
91834202803720
10545575680000
111a041728043a
12898a0236800
133c5a83c0c70
141c5981083a8
15e2d1d88500
hex7f06d83800

545575680000 has 720 divisors, whose sum is σ = 2121068509560. Its totient is φ = 134258688000.

The previous prime is 545575679947. The next prime is 545575680011. The reversal of 545575680000 is 86575545.

545575680000 is a `hidden beast` number, since 545 + 57 + 56 + 8 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 59 ways as a sum of consecutive naturals, for example, 149758179 + ... + 149761821.

Almost surely, 2545575680000 is an apocalyptic number.

545575680000 is a gapful number since it is divisible by the number (50) 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 545575680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060534254780).

545575680000 is an abundant number, since it is smaller than the sum of its proper divisors (1575492829560).

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

545575680000 is a wasteful number, since it uses less digits than its factorization.

545575680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3704 (or 3666 counting only the distinct ones).

The product of its (nonzero) digits is 840000, while the sum is 45.

The spelling of 545575680000 in words is "five hundred forty-five billion, five hundred seventy-five million, six hundred eighty thousand".