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531441144550 = 252359149919751
BaseRepresentation
bin1111011101111000101…
…11000101001011100110
31212210202001021100021201
413232330113011023212
532201342413111200
61044050220033114
753252415123661
oct7567427051346
91783661240251
10531441144550
11195423742788
1286bb669279a
133b164c69114
141ba16c106d8
15dc5602cc6a
hex7bbc5c52e6

531441144550 has 48 divisors (see below), whose sum is σ = 991945440000. Its totient is φ = 211832180000.

The previous prime is 531441144541. The next prime is 531441144587. The reversal of 531441144550 is 55441144135.

It is a super-2 number, since 2×5314411445502 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 26897175 + ... + 26916925.

It is an arithmetic number, because the mean of its divisors is an integer number (20665530000).

Almost surely, 2531441144550 is an apocalyptic number.

531441144550 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

531441144550 is a deficient number, since it is larger than the sum of its proper divisors (460504295450).

531441144550 is a wasteful number, since it uses less digits than its factorization.

531441144550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21621 (or 21616 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 37.

Adding to 531441144550 its reverse (55441144135), we get a palindrome (586882288685).

The spelling of 531441144550 in words is "five hundred thirty-one billion, four hundred forty-one million, one hundred forty-four thousand, five hundred fifty".

Divisors: 1 2 5 10 25 50 359 718 1499 1795 2998 3590 7495 8975 14990 17950 19751 37475 39502 74950 98755 197510 493775 538141 987550 1076282 2690705 5381410 7090609 13453525 14181218 26907050 29606749 35453045 59213498 70906090 148033745 177265225 296067490 354530450 740168725 1480337450 10628822891 21257645782 53144114455 106288228910 265720572275 531441144550