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505054133400 = 233521276628007
BaseRepresentation
bin1110101100101111001…
…00100111110010011000
31210021122002110021212110
413112113210213302120
531233322324232100
61024004010512320
751326466205215
oct7262744476230
91707562407773
10505054133400
11185212989753
1281a717356a0
133881b28125b
141a632576b0c
15d20e6ce250
hex7597927c98

505054133400 has 96 divisors (see below), whose sum is σ = 1577996144640. Its totient is φ = 133620600960.

The previous prime is 505054133393. The next prime is 505054133401. The reversal of 505054133400 is 4331450505.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505054133401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3237804 + ... + 3390203.

It is an arithmetic number, because the mean of its divisors is an integer number (16437459840).

Almost surely, 2505054133400 is an apocalyptic number.

505054133400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

505054133400 is an abundant number, since it is smaller than the sum of its proper divisors (1072942011240).

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

505054133400 is a wasteful number, since it uses less digits than its factorization.

505054133400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6628153 (or 6628144 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

Adding to 505054133400 its reverse (4331450505), we get a palindrome (509385583905).

The spelling of 505054133400 in words is "five hundred five billion, fifty-four million, one hundred thirty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 127 150 200 254 300 381 508 600 635 762 1016 1270 1524 1905 2540 3048 3175 3810 5080 6350 7620 9525 12700 15240 19050 25400 38100 76200 6628007 13256014 19884021 26512028 33140035 39768042 53024056 66280070 79536084 99420105 132560140 159072168 165700175 198840210 265120280 331400350 397680420 497100525 662800700 795360840 841756889 994201050 1325601400 1683513778 1988402100 2525270667 3367027556 3976804200 4208784445 5050541334 6734055112 8417568890 10101082668 12626353335 16835137780 20202165336 21043922225 25252706670 33670275560 42087844450 50505413340 63131766675 84175688900 101010826680 126263533350 168351377800 252527066700 505054133400