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537392227680 = 253357211220981
BaseRepresentation
bin1111101000111110001…
…00101010010101100000
31220101002210021200122000
413310133010222111200
532301034402241210
61050512524244000
753553036365400
oct7643704522540
91811083250560
10537392227680
111979a79a2600
12881976a0600
133b8a2b68799
141c01d328800
15dea3701ac0
hex7d1f12a560

537392227680 has 864 divisors, whose sum is σ = 2405055875040. Its totient is φ = 111660595200.

The previous prime is 537392227651. The next prime is 537392227751. The reversal of 537392227680 is 86722293735.

537392227680 is a `hidden beast` number, since 537 + 3 + 9 + 2 + 2 + 27 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25602790 + ... + 25623770.

It is an arithmetic number, because the mean of its divisors is an integer number (2783629485).

Almost surely, 2537392227680 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 537392227680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202527937520).

537392227680 is an abundant number, since it is smaller than the sum of its proper divisors (1867663647360).

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

537392227680 is a wasteful number, since it uses less digits than its factorization.

537392227680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21041 (or 21009 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 537392227680 in words is "five hundred thirty-seven billion, three hundred ninety-two million, two hundred twenty-seven thousand, six hundred eighty".