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16855497224064 = 273247618361487
BaseRepresentation
bin1111010101000111100111…
…1011001010111110000000
32012200100222120201122002100
43311101321323022332000
54202130024242132224
655503150350350400
73356524635313542
oct365217173127600
965610876648070
1016855497224064
115409415840aa4
121a8285babb400
1395360b0859b5
14423b4bb07692
151e36b4484ac9
hexf5479ecaf80

16855497224064 has 384 divisors, whose sum is σ = 50954918676480. Its totient is φ = 5343556423680.

The previous prime is 16855497224047. The next prime is 16855497224077. The reversal of 16855497224064 is 46042279455861.

16855497224064 is a `hidden beast` number, since 1 + 6 + 8 + 5 + 549 + 7 + 2 + 24 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 16855497223992 and 16855497224010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 274100329 + ... + 274161815.

It is an arithmetic number, because the mean of its divisors is an integer number (132695100720).

Almost surely, 216855497224064 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 16855497224064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25477459338240).

16855497224064 is an abundant number, since it is smaller than the sum of its proper divisors (34099421452416).

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

16855497224064 is a wasteful number, since it uses less digits than its factorization.

16855497224064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61698 (or 61683 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 16855497224064 in words is "sixteen trillion, eight hundred fifty-five billion, four hundred ninety-seven million, two hundred twenty-four thousand, sixty-four".