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445260166453242 = 23375899119968079
BaseRepresentation
bin110010100111101100011011…
…0000011011101011111111010
32011101112110022120101110001000
41211033120312003131133322
5431330120310103000432
64214553410245505430
7162533662002100410
oct14517306603353772
92141473276343030
10445260166453242
1111996785a066248
1241b324a0a12276
131615ab1329595a
147bd49c81ad2b0
15367238ab7357c
hex194f6360dd7fa

445260166453242 has 64 divisors (see below), whose sum is σ = 1130838696345600. Its totient is φ = 127215027491760.

The previous prime is 445260166453229. The next prime is 445260166453259. The reversal of 445260166453242 is 242354661062544.

445260166453242 is a `hidden beast` number, since 4 + 4 + 5 + 2 + 6 + 0 + 1 + 6 + 64 + 532 + 42 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12314559 + ... + 32282637.

It is an arithmetic number, because the mean of its divisors is an integer number (17669354630400).

Almost surely, 2445260166453242 is an apocalyptic number.

445260166453242 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

445260166453242 is an abundant number, since it is smaller than the sum of its proper divisors (685578529892358).

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

445260166453242 is a wasteful number, since it uses less digits than its factorization.

445260166453242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20027088 (or 20027082 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 54.

The spelling of 445260166453242 in words is "four hundred forty-five trillion, two hundred sixty billion, one hundred sixty-six million, four hundred fifty-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 58991 117982 176973 353946 412937 530919 825874 1061838 1238811 1592757 2477622 3185514 3716433 7432866 11149299 19968079 22298598 39936158 59904237 119808474 139776553 179712711 279553106 359425422 419329659 539138133 838659318 1078276266 1257988977 2515977954 3773966931 7547933862 1177936948289 2355873896578 3533810844867 7067621689734 8245558638023 10601432534601 16491117276046 21202865069202 24736675914069 31804297603803 49473351828138 63608595207606 74210027742207 148420055484414 222630083226621 445260166453242