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545648129856 = 2632193143113331
BaseRepresentation
bin1111111000010110010…
…10011011011101000000
31221011102011012222022200
413330023022123131000
532414441410123411
61054400045033200
754264445402134
oct7741312333500
91834364188280
10545648129856
111a0454165055
1289900555800
133c5ba4098bb
141c5a39a73c4
15e2d83e9e56
hex7f0b29b740

545648129856 has 672 divisors, whose sum is σ = 1759635271680. Its totient is φ = 160944537600.

The previous prime is 545648129839. The next prime is 545648129927. The reversal of 545648129856 is 658921846545.

545648129856 is a `hidden beast` number, since 5 + 4 + 56 + 481 + 29 + 85 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 545648129793 and 545648129802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1648483611 + ... + 1648483941.

Almost surely, 2545648129856 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 545648129856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879817635840).

545648129856 is an abundant number, since it is smaller than the sum of its proper divisors (1213987141824).

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

545648129856 is a wasteful number, since it uses less digits than its factorization.

545648129856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 542 counting only the distinct ones).

The product of its digits is 82944000, while the sum is 63.

The spelling of 545648129856 in words is "five hundred forty-five billion, six hundred forty-eight million, one hundred twenty-nine thousand, eight hundred fifty-six".