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544716913104 = 243272131923107127
BaseRepresentation
bin1111110110100111010…
…10000111100111010000
31221002000020222021002100
413323103222013213100
532411040012204404
61054123421520400
754232410236400
oct7732352074720
91832006867070
10544716913104
111a0016551131
12896a0713100
133c49c503480
141c516042800
15e2817a3d39
hex7ed3a879d0

544716913104 has 1440 divisors, whose sum is σ = 2133943418880. Its totient is φ = 127950907392.

The previous prime is 544716913067. The next prime is 544716913109. The reversal of 544716913104 is 401319617445.

544716913104 is a `hidden beast` number, since 5 + 4 + 471 + 69 + 13 + 104 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 544716913104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (544716913109) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4289109489 + ... + 4289109615.

It is an arithmetic number, because the mean of its divisors is an integer number (1481905152).

Almost surely, 2544716913104 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 544716913104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066971709440).

544716913104 is an abundant number, since it is smaller than the sum of its proper divisors (1589226505776).

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

544716913104 is a wasteful number, since it uses less digits than its factorization.

544716913104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 544716913104 in words is "five hundred forty-four billion, seven hundred sixteen million, nine hundred thirteen thousand, one hundred four".