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544060401696 = 253372191374937
BaseRepresentation
bin1111110101011001000…
…01101110100000100000
31221000022111122000202000
413322230201232200200
532403213430323241
61053534330324000
754210216053100
oct7725441564040
91830274560660
10544060401696
1119a809a05419
1289538889600
133c3c64ac796
141c492b89200
15e243d21eb6
hex7eac86e820

544060401696 has 576 divisors, whose sum is σ = 1957652323200. Its totient is φ = 146159935488.

The previous prime is 544060401667. The next prime is 544060401707. The reversal of 544060401696 is 696104060445.

It is a happy number.

544060401696 is a `hidden beast` number, since 5 + 440 + 6 + 0 + 40 + 169 + 6 = 666.

It is a super-2 number, since 2×5440604016962 (a number of 24 digits) contains 22 as substring.

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, 110198140 + ... + 110203076.

It is an arithmetic number, because the mean of its divisors is an integer number (3398701950).

Almost surely, 2544060401696 is an apocalyptic number.

544060401696 is a gapful number since it is divisible by the number (56) 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 544060401696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978826161600).

544060401696 is an abundant number, since it is smaller than the sum of its proper divisors (1413591921504).

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

544060401696 is a wasteful number, since it uses less digits than its factorization.

544060401696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5126 (or 5105 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 544060401696 in words is "five hundred forty-four billion, sixty million, four hundred one thousand, six hundred ninety-six".