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537741998976 = 2737132331113191
BaseRepresentation
bin1111101001100111110…
…10111011101110000000
31220102000011102220122110
413310303322323232000
532302243422431401
61051011341135320
753564514400650
oct7646372735600
91812004386573
10537741998976
11198067380996
128827485a540
133b92a471850
141c053976360
15dec42929d6
hex7d33ebbb80

537741998976 has 1024 divisors, whose sum is σ = 1920372572160. Its totient is φ = 129436876800.

The previous prime is 537741998939. The next prime is 537741999029. The reversal of 537741998976 is 679899147735.

It is a junction number, because it is equal to n+sod(n) for n = 537741998898 and 537741998907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2815403041 + ... + 2815403231.

It is an arithmetic number, because the mean of its divisors is an integer number (1875363840).

Almost surely, 2537741998976 is an apocalyptic number.

537741998976 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 537741998976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960186286080).

537741998976 is an abundant number, since it is smaller than the sum of its proper divisors (1382630573184).

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

537741998976 is a wasteful number, since it uses less digits than its factorization.

537741998976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 383 counting only the distinct ones).

The product of its digits is 720135360, while the sum is 75.

It can be divided in two parts, 5377419 and 98976, that added together give a triangular number (5476395 = T3309).

The spelling of 537741998976 in words is "five hundred thirty-seven billion, seven hundred forty-one million, nine hundred ninety-eight thousand, nine hundred seventy-six".