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502993940064 = 25371168045717
BaseRepresentation
bin1110101000111001100…
…01100110111001100000
31210002022111211121220120
413110130301212321200
531220112422040224
61023023333440240
751224441642520
oct7243461467140
91702274747816
10502993940064
11184355a69a30
12815977a0080
13385804bcc45
141a4b8acd680
15d13d8cb779
hex751cc66e60

502993940064 has 96 divisors (see below), whose sum is σ = 1646162009856. Its totient is φ = 130647774720.

The previous prime is 502993940063. The next prime is 502993940143. The reversal of 502993940064 is 460049399205.

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

It is a super-2 number, since 2×5029939400642 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 502993939989 and 502993940016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (502993940063) by changing a digit.

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, 34015467 + ... + 34030250.

It is an arithmetic number, because the mean of its divisors is an integer number (17147520936).

Almost surely, 2502993940064 is an apocalyptic number.

It is an amenable number.

502993940064 is an abundant number, since it is smaller than the sum of its proper divisors (1143168069792).

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

502993940064 is a wasteful number, since it uses less digits than its factorization.

502993940064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68045748 (or 68045740 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 51.

The spelling of 502993940064 in words is "five hundred two billion, nine hundred ninety-three million, nine hundred forty thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 1056 1232 1848 2464 3696 7392 68045717 136091434 204137151 272182868 408274302 476320019 544365736 748502887 816548604 952640038 1088731472 1428960057 1497005774 1633097208 1905280076 2177462944 2245508661 2857920114 2994011548 3266194416 3810560152 4491017322 5239520209 5715840228 5988023096 6532388832 7621120304 8982034644 10479040418 11431680456 11976046192 15242240608 15718560627 17964069288 20958080836 22863360912 23952092384 31437121254 35928138576 41916161672 45726721824 62874242508 71856277152 83832323344 125748485016 167664646688 251496970032 502993940064