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457845378444 = 2232109359325009
BaseRepresentation
bin1101010100110011011…
…01100000110110001100
31121202210000212001121200
412222121231200312030
530000131404102234
6550155315225500
745035556335136
oct6523155406614
91552700761550
10457845378444
11167197864393
12748975a8290
133423689481c
141823482c056
15bd99de4d99
hex6a99b60d8c

457845378444 has 72 divisors (see below), whose sum is σ = 1171206036000. Its totient is φ = 150793311744.

The previous prime is 457845378433. The next prime is 457845378493. The reversal of 457845378444 is 444873548754.

It is a happy number.

457845378444 is a `hidden beast` number, since 4 + 5 + 78 + 4 + 53 + 78 + 444 = 666.

It is a super-2 number, since 2×4578453784442 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1246212 + ... + 1571220.

It is an arithmetic number, because the mean of its divisors is an integer number (16266750500).

Almost surely, 2457845378444 is an apocalyptic number.

It is an amenable number.

457845378444 is an abundant number, since it is smaller than the sum of its proper divisors (713360657556).

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

457845378444 is a wasteful number, since it uses less digits than its factorization.

457845378444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325487 (or 325482 counting only the distinct ones).

The product of its digits is 240844800, while the sum is 63.

The spelling of 457845378444 in words is "four hundred fifty-seven billion, eight hundred forty-five million, three hundred seventy-eight thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 109 218 327 359 436 654 718 981 1077 1308 1436 1962 2154 3231 3924 4308 6462 12924 39131 78262 117393 156524 234786 325009 352179 469572 650018 704358 975027 1300036 1408716 1950054 2925081 3900108 5850162 11700324 35425981 70851962 106277943 116678231 141703924 212555886 233356462 318833829 350034693 425111772 466712924 637667658 700069386 1050104079 1275335316 1400138772 2100208158 4200416316 12717927179 25435854358 38153781537 50871708716 76307563074 114461344611 152615126148 228922689222 457845378444