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449035668972 = 2232111133928457
BaseRepresentation
bin1101000100011001001…
…11001000110111101100
31120221001001211110010200
412202030213020313230
524324111112401342
6542141212433500
744304344132022
oct6421447106754
91527031743120
10449035668972
11163486a24260
1273039178890
133346167c297
1417a3a7cc712
15ba317a594c
hex688c9c8dec

449035668972 has 36 divisors (see below), whose sum is σ = 1238249876136. Its totient is φ = 136071414720.

The previous prime is 449035668929. The next prime is 449035669001. The reversal of 449035668972 is 279866530944.

449035668972 is a `hidden beast` number, since 4 + 490 + 3 + 5 + 66 + 89 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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 11 ways as a sum of consecutive naturals, for example, 566963833 + ... + 566964624.

Almost surely, 2449035668972 is an apocalyptic number.

It is an amenable number.

449035668972 is an abundant number, since it is smaller than the sum of its proper divisors (789214207164).

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

449035668972 is a wasteful number, since it uses less digits than its factorization.

449035668972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133928478 (or 1133928473 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 449035668972 in words is "four hundred forty-nine billion, thirty-five million, six hundred sixty-eight thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 1133928457 2267856914 3401785371 4535713828 6803570742 10205356113 12473213027 13607141484 20410712226 24946426054 37419639081 40821424452 49892852108 74839278162 112258917243 149678556324 224517834486 449035668972