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537375720960 = 293551366449
BaseRepresentation
bin1111101000111100001…
…01101100011000000000
31220101001122020001200000
413310132011230120000
532301021141032320
61050511134400000
753552446156011
oct7643605543000
91811048201600
10537375720960
11197999648891
1288192060000
133b89c6093b0
141c01b06d008
15dea2040c90
hex7d1e16c600

537375720960 has 480 divisors, whose sum is σ = 2078506029600. Its totient is φ = 132275109888.

The previous prime is 537375720943. The next prime is 537375720971. The reversal of 537375720960 is 69027573735.

537375720960 is a `hidden beast` number, since 5 + 3 + 7 + 3 + 7 + 572 + 0 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 537375720897 and 537375720906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8053816 + ... + 8120264.

It is an arithmetic number, because the mean of its divisors is an integer number (4330220895).

Almost surely, 2537375720960 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 537375720960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039253014800).

537375720960 is an abundant number, since it is smaller than the sum of its proper divisors (1541130308640).

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

537375720960 is an equidigital number, since it uses as much as digits as its factorization.

537375720960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66500 (or 66472 counting only the distinct ones).

The product of its (nonzero) digits is 8334900, while the sum is 54.

The spelling of 537375720960 in words is "five hundred thirty-seven billion, three hundred seventy-five million, seven hundred twenty thousand, nine hundred sixty".