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4745765994480 = 243257941620237
BaseRepresentation
bin100010100001111010110…
…1100100011111111110000
3121210200122120222111121200
41011003311230203333300
51110223312043310410
614032101431251200
7666604335241020
oct105036554437760
917720576874550
104745765994480
11156a7392002a5
12647917519b00
132856a6a81484
141259a6909a80
15836acd5c3c0
hex450f5b23ff0

4745765994480 has 120 divisors (see below), whose sum is σ = 18214701883872. Its totient is φ = 1084746511872.

The previous prime is 4745765994467. The next prime is 4745765994481. The reversal of 4745765994480 is 844995675474.

4745765994480 is a `hidden beast` number, since 4 + 7 + 4 + 5 + 7 + 6 + 59 + 94 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 4745765994399 and 4745765994408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4745765994481) by changing a digit.

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, 470805079 + ... + 470815158.

Almost surely, 24745765994480 is an apocalyptic number.

4745765994480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4745765994480 is an abundant number, since it is smaller than the sum of its proper divisors (13468935889392).

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

4745765994480 is a wasteful number, since it uses less digits than its factorization.

4745765994480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941620263 (or 941620254 counting only the distinct ones).

The product of its (nonzero) digits is 1219276800, while the sum is 72.

The spelling of 4745765994480 in words is "four trillion, seven hundred forty-five billion, seven hundred sixty-five million, nine hundred ninety-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 941620237 1883240474 2824860711 3766480948 4708101185 5649721422 6591341659 7532961896 8474582133 9416202370 11299442844 13182683318 14124303555 15065923792 16949164266 18832404740 19774024977 22598885688 26365366636 28248607110 32956708295 33898328532 37664809480 39548049954 42372910665 45197771376 52730733272 56497214220 59322074931 65913416590 67796657064 75329618960 79096099908 84745821330 98870124885 105461466544 112994428440 118644149862 131826833180 135593314128 158192199816 169491642660 197740249770 225988856880 237288299724 263653666360 296610374655 316384399632 338983285320 395480499540 474576599448 527307332720 593220749310 677966570640 790960999080 949153198896 1186441498620 1581921998160 2372882997240 4745765994480