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4412090670075 = 32521119531770271
BaseRepresentation
bin100000000110100010100…
…0110001101101111111011
3120121210101011222202020100
41000031011012031233323
51034241430202420300
613214515251130443
7633522501624114
oct100150506155773
916553334882210
104412090670075
111451180184390
125b31142a3a23
1326009b2c650a
141137911a320b
1579b7e084700
hex4034518dbfb

4412090670075 has 144 divisors (see below), whose sum is σ = 9245918223360. Its totient is φ = 1988367264000.

The previous prime is 4412090670061. The next prime is 4412090670079. The reversal of 4412090670075 is 5700760902144.

4412090670075 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4412090670075 - 26 = 4412090670011 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 4412090670075.

It is not an unprimeable number, because it can be changed into a prime (4412090670079) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1607190 + ... + 3377460.

It is an arithmetic number, because the mean of its divisors is an integer number (64207765440).

Almost surely, 24412090670075 is an apocalyptic number.

4412090670075 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4412090670075 is an abundant number, since it is smaller than the sum of its proper divisors (4833827553285).

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

4412090670075 is a wasteful number, since it uses less digits than its factorization.

4412090670075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1770370 (or 1770362 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 4412090670075 in words is "four trillion, four hundred twelve billion, ninety million, six hundred seventy thousand, seventy-five".

Divisors: 1 3 5 9 11 15 19 25 33 45 53 55 57 75 95 99 159 165 171 209 225 265 275 285 475 477 495 583 627 795 825 855 1007 1045 1325 1425 1749 1881 2385 2475 2915 3021 3135 3975 4275 5035 5225 5247 8745 9063 9405 11077 11925 14575 15105 15675 25175 26235 33231 43725 45315 47025 55385 75525 99693 131175 166155 226575 276925 498465 830775 1770271 2492325 5310813 8851355 15932439 19472981 26554065 33635149 44256775 58418943 79662195 93824363 97364905 100905447 132770325 168175745 175256829 281473089 292094715 302716341 369986639 398310975 469121815 486824525 504527235 840878725 844419267 876284145 1032067993 1109959917 1407365445 1460473575 1513581705 1782662897 1849933195 2345609075 2522636175 3096203979 3329879751 4222096335 4381420725 5160339965 5347988691 5549799585 7036827225 7567908525 8913314485 9249665975 9288611937 15481019895 16043966073 16649398755 19609291867 21110481675 25801699825 26739943455 27748997925 44566572425 46443059685 58827875601 77405099475 80219830365 83246993775 98046459335 133699717275 176483626803 232215298425 294139378005 401099151825 490232296675 882418134015 1470696890025 4412090670075