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449226409002 = 23722296366541
BaseRepresentation
bin1101000100101111111…
…10110000010000101010
31120221112100202001021020
412202113332300100222
524330003430042002
6542212144553310
744312151321300
oct6422776602052
91527470661236
10449226409002
11163574662048
1273091022836
13334920437c7
1417a57c80270
15ba433d12bc
hex6897fb042a

449226409002 has 48 divisors (see below), whose sum is σ = 1045200213792. Its totient is φ = 128342884320.

The previous prime is 449226409001. The next prime is 449226409007. The reversal of 449226409002 is 200904622944.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (449226409001) 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 23 ways as a sum of consecutive naturals, for example, 6717852 + ... + 6784392.

It is an arithmetic number, because the mean of its divisors is an integer number (21775004454).

Almost surely, 2449226409002 is an apocalyptic number.

449226409002 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

449226409002 is an abundant number, since it is smaller than the sum of its proper divisors (595973804790).

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

449226409002 is a wasteful number, since it uses less digits than its factorization.

449226409002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89523 (or 89516 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 449226409002 in words is "four hundred forty-nine billion, two hundred twenty-six million, four hundred nine thousand, two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 22963 45926 66541 68889 133082 137778 160741 199623 321482 399246 465787 482223 931574 964446 1125187 1397361 2250374 2794722 3260509 3375561 6521018 6751122 9781527 19563054 1527980983 3055961966 4583942949 9167885898 10695866881 21391733762 32087600643 64175201286 74871068167 149742136334 224613204501 449226409002