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3924414496975 = 527237325126633
BaseRepresentation
bin111001000110111001010…
…101010000000011001111
3111220011121012020022100011
4321012321111100003033
51003244200102400400
612202503502214051
7553346435556100
oct71067125200317
914804535208304
103924414496975
1112833757464a5
125346b2584327
132260bc43130b
14d7d2a9b43a7
156c13a33a8ba
hex391b95500cf

3924414496975 has 72 divisors (see below), whose sum is σ = 5815768066128. Its totient is φ = 2617392960000.

The previous prime is 3924414496973. The next prime is 3924414496993. The reversal of 3924414496975 is 5796944144293.

It is not a de Polignac number, because 3924414496975 - 21 = 3924414496973 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3924414496975.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3924414496973) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 147338259 + ... + 147364891.

It is an arithmetic number, because the mean of its divisors is an integer number (80774556474).

Almost surely, 23924414496975 is an apocalyptic number.

3924414496975 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3924414496975 is a deficient number, since it is larger than the sum of its proper divisors (1891353569153).

3924414496975 is a wasteful number, since it uses less digits than its factorization.

3924414496975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29945 (or 29933 counting only the distinct ones).

The product of its digits is 235146240, while the sum is 67.

The spelling of 3924414496975 in words is "three trillion, nine hundred twenty-four billion, four hundred fourteen million, four hundred ninety-six thousand, nine hundred seventy-five".

Divisors: 1 5 7 25 35 37 49 175 185 245 259 925 1225 1295 1813 3251 6475 9065 16255 22757 26633 45325 81275 113785 120287 133165 159299 186431 568925 601435 665825 796495 842009 932155 985421 1305017 3007175 3982475 4210045 4660775 4927105 5894063 6525085 6897947 21050225 24635525 29470315 32625425 34489735 48285629 86583883 147351575 172448675 241428145 432919415 606087181 1207140725 2164597075 3030435905 3203603671 4242610267 15152179525 16018018355 21213051335 22425225697 80090091775 106065256675 112126128485 156976579879 560630642425 784882899395 3924414496975