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531243075640 = 23571514736343
BaseRepresentation
bin1111011101100001000…
…11100000100000111000
31212210020020120101211011
413232300203200200320
532200441211410030
61044014422443304
753244461431414
oct7566043404070
91783206511734
10531243075640
11195331959672
1286b60293534
133b132c09a94
141b9d87b1d44
15dc43955b2a
hex7bb08e0838

531243075640 has 64 divisors (see below), whose sum is σ = 1212400949760. Its totient is φ = 209457843840.

The previous prime is 531243075613. The next prime is 531243075641. The reversal of 531243075640 is 46570342135.

It is a happy number.

It is a super-2 number, since 2×5312430756402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 531243075593 and 531243075602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531243075641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14599309 + ... + 14635651.

It is an arithmetic number, because the mean of its divisors is an integer number (18943764840).

Almost surely, 2531243075640 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 531243075640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606200474880).

531243075640 is an abundant number, since it is smaller than the sum of its proper divisors (681157874120).

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

531243075640 is a wasteful number, since it uses less digits than its factorization.

531243075640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41572 (or 41568 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 40.

The spelling of 531243075640 in words is "five hundred thirty-one billion, two hundred forty-three million, seventy-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 355 568 710 1420 2840 5147 10294 20588 25735 36343 41176 51470 72686 102940 145372 181715 205880 290744 363430 365437 726860 730874 1453720 1461748 1827185 2580353 2923496 3654370 5160706 7308740 10321412 12901765 14617480 20642824 25803530 51607060 103214120 187057421 374114842 748229684 935287105 1496459368 1870574210 3741148420 7482296840 13281076891 26562153782 53124307564 66405384455 106248615128 132810768910 265621537820 531243075640