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20020075298964 = 2235131584368099
BaseRepresentation
bin1001000110101010010010…
…11110100000000010010100
32121212220022110200100200000
410203111021132200002110
510111002103234031324
6110325032353251300
74134255062162166
oct443251136400224
977786273610600
1020020075298964
116419514647304
1222b4036863b30
13b22b67464070
144d2d96544936
1524ab7c5279c9
hex1235497a0094

20020075298964 has 72 divisors (see below), whose sum is σ = 56517578863200. Its totient is φ = 6160023165024.

The previous prime is 20020075298933. The next prime is 20020075299019. The reversal of 20020075298964 is 46989257002002.

20020075298964 is a `hidden beast` number, since 2 + 0 + 0 + 20 + 0 + 7 + 529 + 8 + 96 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 20020075298964.

It is a congruent number.

It is an unprimeable number.

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, 792171414 + ... + 792196685.

It is an arithmetic number, because the mean of its divisors is an integer number (784966373100).

Almost surely, 220020075298964 is an apocalyptic number.

It is an amenable number.

20020075298964 is an abundant number, since it is smaller than the sum of its proper divisors (36497503564236).

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

20020075298964 is a wasteful number, since it uses less digits than its factorization.

20020075298964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584368131 (or 1584368117 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 20020075298964 in words is "twenty trillion, twenty billion, seventy-five million, two hundred ninety-eight thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 324 351 468 486 702 972 1053 1404 2106 3159 4212 6318 12636 1584368099 3168736198 4753104297 6337472396 9506208594 14259312891 19012417188 20596785287 28518625782 41193570574 42777938673 57037251564 61790355861 82387141148 85555877346 123580711722 128333816019 171111754692 185371067583 247161423444 256667632038 370742135166 385001448057 513335264076 556113202749 741484270332 770002896114 1112226405498 1540005792228 1668339608247 2224452810996 3336679216494 5005018824741 6673358432988 10010037649482 20020075298964