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544440058552 = 231322774313373
BaseRepresentation
bin1111110110000110010…
…10000000001010111000
31221001021222000121001001
413323003022000022320
532410003123333202
61054040131534344
754222506066305
oct7730312001270
91831258017031
10544440058552
1119a994246215
1289623a5a3b4
133c45704a700
141c4cb3760ac
15e267317d87
hex7ec32802b8

544440058552 has 96 divisors (see below), whose sum is σ = 1112284716480. Its totient is φ = 249717911040.

The previous prime is 544440058531. The next prime is 544440058553. The reversal of 544440058552 is 255850044445.

It is a super-2 number, since 2×5444400585522 (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (544440058553) 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 23 ways as a sum of consecutive naturals, for example, 161409538 + ... + 161412910.

It is an arithmetic number, because the mean of its divisors is an integer number (11586299130).

Almost surely, 2544440058552 is an apocalyptic number.

544440058552 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 544440058552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556142358240).

544440058552 is an abundant number, since it is smaller than the sum of its proper divisors (567844657928).

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

544440058552 is a wasteful number, since it uses less digits than its factorization.

544440058552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4113 (or 4096 counting only the distinct ones).

The product of its (nonzero) digits is 2560000, while the sum is 46.

The spelling of 544440058552 in words is "five hundred forty-four billion, four hundred forty million, fifty-eight thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 26 52 104 169 277 338 431 554 676 862 1108 1352 1724 2216 3373 3448 3601 5603 6746 7202 11206 13492 14404 22412 26984 28808 43849 44824 46813 72839 87698 93626 119387 145678 175396 187252 238774 291356 350792 374504 477548 570037 582712 934321 955096 1140074 1453763 1552031 1868642 2280148 2907526 3104062 3737284 4560296 5815052 6208124 7474568 11630104 12146173 12416248 18898919 20176403 24292346 37797838 40352806 48584692 75595676 80705612 97169384 151191352 157900249 161411224 245685947 315800498 402692351 491371894 631600996 805384702 982743788 1263201992 1610769404 1965487576 3221538808 5235000563 10470001126 20940002252 41880004504 68055007319 136110014638 272220029276 544440058552