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5323920580224 = 27336612330539
BaseRepresentation
bin100110101111001001001…
…1001010001111010000000
3200211221222011211112102000
41031132102121101322000
51144211342132031344
615153435250424000
71056432500156451
oct115362231217200
920757864745360
105323920580224
111772953411824
1271b98a292000
132c8074902c4c
1414597176d128
1593749e34a69
hex4d792651e80

5323920580224 has 128 divisors (see below), whose sum is σ = 15736738296000. Its totient is φ = 1771954652160.

The previous prime is 5323920580163. The next prime is 5323920580249. The reversal of 5323920580224 is 4220850293235.

5323920580224 is a `hidden beast` number, since 5 + 3 + 23 + 9 + 20 + 580 + 2 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 5323920580224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1119147 + ... + 3449685.

Almost surely, 25323920580224 is an apocalyptic number.

5323920580224 is a gapful number since it is divisible by the number (54) 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 5323920580224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7868369148000).

5323920580224 is an abundant number, since it is smaller than the sum of its proper divisors (10412817715776).

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

5323920580224 is a wasteful number, since it uses less digits than its factorization.

5323920580224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2331223 (or 2331205 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 5323920580224 in words is "five trillion, three hundred twenty-three billion, nine hundred twenty million, five hundred eighty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 661 864 1152 1322 1728 1983 2644 3456 3966 5288 5949 7932 10576 11898 15864 17847 21152 23796 31728 35694 42304 47592 63456 71388 84608 95184 126912 142776 190368 253824 285552 380736 571104 761472 1142208 2284416 2330539 4661078 6991617 9322156 13983234 18644312 20974851 27966468 37288624 41949702 55932936 62924553 74577248 83899404 111865872 125849106 149154496 167798808 223731744 251698212 298308992 335597616 447463488 503396424 671195232 894926976 1006792848 1342390464 1540486279 2013585696 2684780928 3080972558 4027171392 4621458837 6161945116 8054342784 9242917674 12323890232 13864376511 18485835348 24647780464 27728753022 36971670696 41593129533 49295560928 55457506044 73943341392 83186259066 98591121856 110915012088 147886682784 166372518132 197182243712 221830024176 295773365568 332745036264 443660048352 591546731136 665490072528 887320096704 1330980145056 1774640193408 2661960290112 5323920580224