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449088033072 = 24377318309199
BaseRepresentation
bin1101000100011111011…
…10111001000100110000
31120221011201100211011210
412202033232321010300
524324213014024242
6542150323040120
744305551204030
oct6421756710460
91527151324153
10449088033072
1116350353a178
1273052810040
133346c484763
1417a4373d8c0
15ba3619ad9c
hex688fbb9130

449088033072 has 80 divisors (see below), whose sum is σ = 1344041753600. Its totient is φ = 126553176576.

The previous prime is 449088033071. The next prime is 449088033077. The reversal of 449088033072 is 270330880944.

It is a super-2 number, since 2×4490880330722 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (449088033071) 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 15 ways as a sum of consecutive naturals, for example, 9130072 + ... + 9179127.

It is an arithmetic number, because the mean of its divisors is an integer number (16800521920).

Almost surely, 2449088033072 is an apocalyptic number.

449088033072 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

449088033072 is an abundant number, since it is smaller than the sum of its proper divisors (894953720528).

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

449088033072 is a wasteful number, since it uses less digits than its factorization.

449088033072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18309290 (or 18309284 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 449088033072 in words is "four hundred forty-nine billion, eighty-eight million, thirty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 73 84 112 146 168 219 292 336 438 511 584 876 1022 1168 1533 1752 2044 3066 3504 4088 6132 8176 12264 24528 18309199 36618398 54927597 73236796 109855194 128164393 146473592 219710388 256328786 292947184 384493179 439420776 512657572 768986358 878841552 1025315144 1336571527 1537972716 2050630288 2673143054 3075945432 4009714581 5346286108 6151890864 8019429162 9356000689 10692572216 16038858324 18712001378 21385144432 28068002067 32077716648 37424002756 56136004134 64155433296 74848005512 112272008268 149696011024 224544016536 449088033072