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536217485144 = 231121301425783
BaseRepresentation
bin1111100110110010000…
…11010111111101011000
31220021001220210120211012
413303121003113331120
532241133134011034
61050200201353052
753511653264135
oct7633103277530
91807056716735
10536217485144
11197454878100
1287b0a198788
133b746678763
141bd4b2d158c
15de35504cce
hex7cd90d7f58

536217485144 has 48 divisors (see below), whose sum is σ = 1105969682160. Its totient is φ = 243547304000.

The previous prime is 536217485117. The next prime is 536217485147. The reversal of 536217485144 is 441584712635.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 536217485092 and 536217485101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536217485147) 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 11 ways as a sum of consecutive naturals, for example, 1046477 + ... + 1472259.

It is an arithmetic number, because the mean of its divisors is an integer number (23041035045).

Almost surely, 2536217485144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 536217485144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552984841080).

536217485144 is an abundant number, since it is smaller than the sum of its proper divisors (569752197016).

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

536217485144 is a wasteful number, since it uses less digits than its factorization.

536217485144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427112 (or 427097 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 50.

The spelling of 536217485144 in words is "five hundred thirty-six billion, two hundred seventeen million, four hundred eighty-five thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 1301 2602 5204 10408 14311 28622 57244 114488 157421 314842 425783 629684 851566 1259368 1703132 3406264 4683613 9367226 18734452 37468904 51519743 103039486 206078972 412157944 553943683 1107887366 2215774732 4431549464 6093380513 12186761026 24373522052 48747044104 67027185643 134054371286 268108742572 536217485144