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537050148096 = 283741122983
BaseRepresentation
bin1111101000010101010…
…11101110110100000000
31220100012221121020122210
413310022223232310000
532244334314214341
61050414544302120
753541413640000
oct7641253566400
91810187536583
10537050148096
11197841898100
1288101011940
133b84a026727
141bdc9b20000
15de8367ec16
hex7d0aaeed00

537050148096 has 1080 divisors, whose sum is σ = 1918872779040. Its totient is φ = 133060730880.

The previous prime is 537050148049. The next prime is 537050148101. The reversal of 537050148096 is 690841050735.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6470483671 + ... + 6470483753.

Almost surely, 2537050148096 is an apocalyptic number.

537050148096 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 537050148096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959436389520).

537050148096 is an abundant number, since it is smaller than the sum of its proper divisors (1381822630944).

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

537050148096 is an equidigital number, since it uses as much as digits as its factorization.

537050148096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 537050148096 in words is "five hundred thirty-seven billion, fifty million, one hundred forty-eight thousand, ninety-six".