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4381108896 = 253175350651
BaseRepresentation
bin1000001010010001…
…00110101010100000
3102022022211101120110
410011020212222200
532433030441041
62002422211320
7213365545143
oct40510465240
912268741513
104381108896
111949026a5a
12a23283b40
1354a87a538
142d7bdc05a
151a9956516
hex105226aa0

4381108896 has 96 divisors (see below), whose sum is σ = 12406903488. Its totient is φ = 1348505600.

The previous prime is 4381108873. The next prime is 4381108957. The reversal of 4381108896 is 6988011834.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×43811088962 = 38388230317220677632, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61171 + ... + 111821.

It is an arithmetic number, because the mean of its divisors is an integer number (129238578).

Almost surely, 24381108896 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 4381108896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6203451744).

4381108896 is an abundant number, since it is smaller than the sum of its proper divisors (8025794592).

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

4381108896 is a wasteful number, since it uses less digits than its factorization.

4381108896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50734 (or 50726 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The square root of 4381108896 is about 66189.9455808811. The cubic root of 4381108896 is about 1636.2940431099.

The spelling of 4381108896 in words is "four billion, three hundred eighty-one million, one hundred eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 53 68 96 102 106 136 159 204 212 272 318 408 424 544 636 816 848 901 1272 1632 1696 1802 2544 2703 3604 5088 5406 7208 10812 14416 21624 28832 43248 50651 86496 101302 151953 202604 303906 405208 607812 810416 861067 1215624 1620832 1722134 2431248 2583201 2684503 3444268 4862496 5166402 5369006 6888536 8053509 10332804 10738012 13777072 16107018 20665608 21476024 27554144 32214036 41331216 42952048 45636551 64428072 82662432 85904096 91273102 128856144 136909653 182546204 257712288 273819306 365092408 547638612 730184816 1095277224 1460369632 2190554448 4381108896