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537052540752 = 243271341579859
BaseRepresentation
bin1111101000010101101…
…00110110111101010000
31220100020010002210202200
413310022310312331100
532244340422301002
61050415111443200
753541443163450
oct7641264667520
91810203083680
10537052540752
11197843181802
1288101986500
133b84a6837c0
141bdca183d60
15de839a3b1c
hex7d0ad36f50

537052540752 has 240 divisors, whose sum is σ = 1850480311680. Its totient is φ = 141591794688.

The previous prime is 537052540751. The next prime is 537052540763. The reversal of 537052540752 is 257045250735.

537052540752 is a `hidden beast` number, since 5 + 3 + 7 + 0 + 52 + 540 + 7 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 537052540698 and 537052540707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (537052540751) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54468399 + ... + 54478257.

It is an arithmetic number, because the mean of its divisors is an integer number (7710334632).

Almost surely, 2537052540752 is an apocalyptic number.

537052540752 is a gapful number since it is divisible by the number (52) 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 537052540752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925240155840).

537052540752 is an abundant number, since it is smaller than the sum of its proper divisors (1313427770928).

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

537052540752 is a wasteful number, since it uses less digits than its factorization.

537052540752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14050 (or 14041 counting only the distinct ones).

The product of its (nonzero) digits is 1470000, while the sum is 45.

The spelling of 537052540752 in words is "five hundred thirty-seven billion, fifty-two million, five hundred forty thousand, seven hundred fifty-two".