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537664534344 = 233373177271543
BaseRepresentation
bin1111101001011110100…
…11011011011101001000
31220101210202200022011000
413310233103123131020
532302114110044334
61050555532535000
753562554064360
oct7645723333510
91811722608130
10537664534344
11198027681633
1288252921460
133b9173bb4a2
141c04756d9a0
15debc590299
hex7d2f4db748

537664534344 has 256 divisors, whose sum is σ = 1715722444800. Its totient is φ = 152824091904.

The previous prime is 537664534343. The next prime is 537664534349. The reversal of 537664534344 is 443435466735.

It is a happy number.

537664534344 is a `hidden beast` number, since 5 + 3 + 7 + 6 + 64 + 534 + 3 + 44 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (537664534343) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 348453237 + ... + 348454779.

It is an arithmetic number, because the mean of its divisors is an integer number (6702040800).

Almost surely, 2537664534344 is an apocalyptic number.

537664534344 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 537664534344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857861222400).

537664534344 is an abundant number, since it is smaller than the sum of its proper divisors (1178057910456).

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

537664534344 is a wasteful number, since it uses less digits than its factorization.

537664534344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2609 (or 2599 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 54.

The spelling of 537664534344 in words is "five hundred thirty-seven billion, six hundred sixty-four million, five hundred thirty-four thousand, three hundred forty-four".