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43150091076 = 22328923892
BaseRepresentation
bin101000001011111100…
…100010001101000100
311010101012111202002100
4220023330202031010
51201332410403301
631453424112100
73055204502541
oct501374421504
9133335452070
1043150091076
11173331130a4
128442a65630
1340b8898291
142134ac3bc8
1511c8327286
hexa0bf22344

43150091076 has 81 divisors (see below), whose sum is σ = 110597470711. Its totient is φ = 14185193088.

The previous prime is 43150091071. The next prime is 43150091077. The reversal of 43150091076 is 67019005134.

The square root of 43150091076 is 207726.

It is a perfect power (a square), and thus also a powerful number.

43150091076 is a `hidden beast` number, since 43 + 1 + 500 + 9 + 107 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14154812676 + 28995278400 = 118974^2 + 170280^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 43150091076.

It is not an unprimeable number, because it can be changed into a prime (43150091071) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 110925490 + ... + 110925878.

Almost surely, 243150091076 is an apocalyptic number.

43150091076 is the 207726-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43150091076

43150091076 is an abundant number, since it is smaller than the sum of its proper divisors (67447379635).

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

43150091076 is an equidigital number, since it uses as much as digits as its factorization.

43150091076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

Multiplying 43150091076 by its sum of digits (36), we get a square (1553403278736 = 12463562).

43150091076 divided by its sum of digits (36) gives a square (1198613641 = 346212).

The spelling of 43150091076 in words is "forty-three billion, one hundred fifty million, ninety-one thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 389 534 778 801 1068 1167 1556 1602 2334 3204 3501 4668 7002 7921 14004 15842 23763 31684 34621 47526 69242 71289 95052 103863 138484 142578 151321 207726 285156 302642 311589 415452 453963 605284 623178 907926 1246356 1361889 1815852 2723778 3081269 5447556 6162538 9243807 12325076 13467569 18487614 26935138 27731421 36975228 40402707 53870276 55462842 80805414 110925684 121208121 161610828 242416242 484832484 1198613641 2397227282 3595840923 4794454564 7191681846 10787522769 14383363692 21575045538 43150091076