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54002425440 = 2535174764399
BaseRepresentation
bin110010010010110010…
…111001111001100000
312011101112002110011010
4302102302321321200
51341044110103230
640450335220520
73621142020405
oct622262717140
9164345073133
1054002425440
11209a1a63577
12a571377740
1351280303c2
1428841162ac
151610e489b0
hexc92cb9e60

54002425440 has 96 divisors (see below), whose sum is σ = 170207654400. Its totient is φ = 14392180224.

The previous prime is 54002425427. The next prime is 54002425441. The reversal of 54002425440 is 4452420045.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 54002425398 and 54002425407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54002425441) 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, 806361 + ... + 870759.

It is an arithmetic number, because the mean of its divisors is an integer number (1772996400).

Almost surely, 254002425440 is an apocalyptic number.

It is an amenable number.

54002425440 is an abundant number, since it is smaller than the sum of its proper divisors (116205228960).

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

54002425440 is a wasteful number, since it uses less digits than its factorization.

54002425440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66164 (or 66156 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

Adding to 54002425440 its reverse (4452420045), we get a palindrome (58454845485).

The spelling of 54002425440 in words is "fifty-four billion, two million, four hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1747 3494 5241 6988 8735 10482 13976 17470 20964 26205 27952 34940 41928 52410 55904 64399 69880 83856 104820 128798 139760 167712 193197 209640 257596 279520 321995 386394 419280 515192 643990 772788 838560 965985 1030384 1287980 1545576 1931970 2060768 2575960 3091152 3863940 5151920 6182304 7727880 10303840 15455760 30911520 112505053 225010106 337515159 450020212 562525265 675030318 900040424 1125050530 1350060636 1687575795 1800080848 2250101060 2700121272 3375151590 3600161696 4500202120 5400242544 6750303180 9000404240 10800485088 13500606360 18000808480 27001212720 54002425440