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537232980816 = 243773172633
BaseRepresentation
bin1111101000101011001…
…01001011101101010000
31220100200200122010000000
413310111211023231100
532300223120341231
61050445035130000
753546063664000
oct7642545135520
91810620563000
10537232980816
11197926015024
12881522a3900
133b878b7ca7c
141c006114000
15de947476e6
hex7d1594bb50

537232980816 has 640 divisors, whose sum is σ = 1928340864000. Its totient is φ = 144411144192.

The previous prime is 537232980763. The next prime is 537232980821. The reversal of 537232980816 is 618089232735.

537232980816 is a `hidden beast` number, since 537 + 2 + 3 + 2 + 98 + 0 + 8 + 16 = 666.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 204037036 + ... + 204039668.

It is an arithmetic number, because the mean of its divisors is an integer number (3013032600).

Almost surely, 2537232980816 is an apocalyptic number.

537232980816 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 537232980816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964170432000).

537232980816 is an abundant number, since it is smaller than the sum of its proper divisors (1391107883184).

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

537232980816 is an equidigital number, since it uses as much as digits as its factorization.

537232980816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2700 (or 2662 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 537232980816 in words is "five hundred thirty-seven billion, two hundred thirty-two million, nine hundred eighty thousand, eight hundred sixteen".