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537375965221368 = 2332713319738537079
BaseRepresentation
bin111101000101111011001011…
…1100001001001000111111000
32121110200122021222010111021100
41322023312113201021013320
51030413331434044040433
65142523035502011400
7221122063241434410
oct17213662741110770
92543618258114240
10537375965221368
1114625195a006649
125032b08b576b60
131a0b044a4b4490
14969b1c7b11640
15421d5ae70db13
hex1e8bd978491f8

537375965221368 has 768 divisors, whose sum is σ = 1868846605516800. Its totient is φ = 135685382307840.

The previous prime is 537375965221331. The next prime is 537375965221387. The reversal of 537375965221368 is 863122569573735.

537375965221368 is a `hidden beast` number, since 5 + 3 + 7 + 3 + 7 + 5 + 96 + 522 + 1 + 3 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 537375965221296 and 537375965221305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 75911278453 + ... + 75911285531.

It is an arithmetic number, because the mean of its divisors is an integer number (2433394017600).

Almost surely, 2537375965221368 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 537375965221368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934423302758400).

537375965221368 is an abundant number, since it is smaller than the sum of its proper divisors (1331470640295432).

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

537375965221368 is a wasteful number, since it uses less digits than its factorization.

537375965221368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11092 (or 11085 counting only the distinct ones).

The product of its digits is 1714608000, while the sum is 72.

The spelling of 537375965221368 in words is "five hundred thirty-seven trillion, three hundred seventy-five billion, nine hundred sixty-five million, two hundred twenty-one thousand, three hundred sixty-eight".