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4454001000552 = 233172886772421
BaseRepresentation
bin100000011010000011100…
…1001011100000001101000
3120202210112222200010111110
41000310013021130001220
51040433243224004202
613250050111030320
7636535203561405
oct100640711340150
916683488603443
104454001000552
111467a274a3a44
125bb26bb0b3a0
1326401a08872c
141158093672ac
157acd361a26c
hex40d0725c068

4454001000552 has 96 divisors (see below), whose sum is σ = 11830029412320. Its totient is φ = 1397156766720.

The previous prime is 4454001000481. The next prime is 4454001000557. The reversal of 4454001000552 is 2550001004544.

It is a super-3 number, since 3×44540010005523 (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4454001000557) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61465302 + ... + 61537722.

It is an arithmetic number, because the mean of its divisors is an integer number (123229473045).

Almost surely, 24454001000552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4454001000552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5915014706160).

4454001000552 is an abundant number, since it is smaller than the sum of its proper divisors (7376028411768).

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

4454001000552 is a wasteful number, since it uses less digits than its factorization.

4454001000552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81331 (or 81310 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The spelling of 4454001000552 in words is "four trillion, four hundred fifty-four billion, one million, five hundred fifty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 289 408 578 867 1156 1734 2312 3468 6936 8867 17734 26601 35468 53202 70936 72421 106404 144842 150739 212808 217263 289684 301478 434526 452217 579368 602956 869052 904434 1205912 1231157 1738104 1808868 2462314 2562563 3617736 3693471 4924628 5125126 7386942 7687689 9849256 10250252 14773884 15375378 20500504 20929669 29547768 30750756 41859338 61501512 62789007 83718676 125578014 167437352 251156028 502312056 642157007 1284314014 1926471021 2568628028 3852942042 5137256056 7705884084 10916669119 15411768168 21833338238 32750007357 43666676476 65500014714 87333352952 131000029428 185583375023 262000058856 371166750046 556750125069 742333500092 1113500250138 1484667000184 2227000500276 4454001000552