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5114717093664 = 253317348224203
BaseRepresentation
bin100101001101101110011…
…1001010011111100100000
3200002221222102120021211000
41022123130321103330200
51132244420033444124
614513400225552000
71035345312653223
oct112333471237440
920087872507730
105114717093664
1116a2159505992
126a73244a5600
132b1414928549
141397a72275ba
158d0a39db6c9
hex4a6dce53f20

5114717093664 has 96 divisors (see below), whose sum is σ = 15795449893440. Its totient is φ = 1604617122816.

The previous prime is 5114717093641. The next prime is 5114717093669. The reversal of 5114717093664 is 4663907174115.

It is a happy number.

5114717093664 is a `hidden beast` number, since 5 + 11 + 471 + 70 + 9 + 36 + 64 = 666.

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

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 5114717093664.

It is not an unprimeable number, because it can be changed into a prime (5114717093669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174097414 + ... + 174126789.

It is an arithmetic number, because the mean of its divisors is an integer number (164535936390).

Almost surely, 25114717093664 is an apocalyptic number.

5114717093664 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

5114717093664 is an abundant number, since it is smaller than the sum of its proper divisors (10680732799776).

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

5114717093664 is a wasteful number, since it uses less digits than its factorization.

5114717093664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348224239 (or 348224225 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 5114717093664 in words is "five trillion, one hundred fourteen billion, seven hundred seventeen million, ninety-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 272 288 306 408 432 459 544 612 816 864 918 1224 1632 1836 2448 3672 4896 7344 14688 348224203 696448406 1044672609 1392896812 2089345218 2785793624 3134017827 4178690436 5571587248 5919811451 6268035654 8357380872 9402053481 11143174496 11839622902 12536071308 16714761744 17759434353 18804106962 23679245804 25072142616 33429523488 35518868706 37608213924 47358491608 50144285232 53278303059 71037737412 75216427848 94716983216 100288570464 106556606118 142075474824 150432855696 159834909177 189433966432 213113212236 284150949648 300865711392 319669818354 426226424472 568301899296 639339636708 852452848944 1278679273416 1704905697888 2557358546832 5114717093664