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538394421003264 = 2103771943127331
BaseRepresentation
bin111101001101010101011100…
…0001101101000010000000000
32121121022000002220100210000000
41322122222320031220100000
51031032023233234101024
65145022552120000000
7221255466440645640
oct17232527015502000
92547260086323000
10538394421003264
11146604878819651
1250474542300000
131a1554b7252c07
1496d460130a520
154239d1b35ecc9
hex1e9aab8368400

538394421003264 has 2816 divisors, whose sum is σ = 2008687601254400. Its totient is φ = 140794281492480.

The previous prime is 538394421003217. The next prime is 538394421003311. The reversal of 538394421003264 is 462300124493835.

538394421003264 is a `hidden beast` number, since 5 + 3 + 8 + 3 + 9 + 442 + 100 + 32 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (538394421003217) and next prime (538394421003311).

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

It is a self number, because there is not a number n which added to its sum of digits gives 538394421003264.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1626569247579 + ... + 1626569247909.

It is an arithmetic number, because the mean of its divisors is an integer number (713312358400).

Almost surely, 2538394421003264 is an apocalyptic number.

538394421003264 is a gapful number since it is divisible by the number (54) 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 538394421003264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004343800627200).

538394421003264 is an abundant number, since it is smaller than the sum of its proper divisors (1470293180251136).

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

538394421003264 is a wasteful number, since it uses less digits than its factorization.

538394421003264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 538394421003264 in words is "five hundred thirty-eight trillion, three hundred ninety-four billion, four hundred twenty-one million, three thousand, two hundred sixty-four".