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83115844672 = 267226503777
BaseRepresentation
bin100110101101000010…
…1110010010001000000
321221112111010101100111
41031122011302101000
52330210124012142
6102103301001104
76001455010600
oct1153205622100
9257474111314
1083115844672
1132281800323
12141373b3194
137ab7819aa3
1440468d8c00
152266ce6e17
hex135a172440

83115844672 has 42 divisors (see below), whose sum is σ = 191860848942. Its totient is φ = 35621074944.

The previous prime is 83115844667. The next prime is 83115844673. The reversal of 83115844672 is 27644851138.

It can be written as a sum of positive squares in only one way, i.e., 82497626176 + 618218496 = 287224^2 + 24864^2 .

It is a super-3 number, since 3×831158446723 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (83115844673) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13248753 + ... + 13255024.

It is an arithmetic number, because the mean of its divisors is an integer number (4568115451).

Almost surely, 283115844672 is an apocalyptic number.

It is an amenable number.

83115844672 is an abundant number, since it is smaller than the sum of its proper divisors (108745004270).

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

83115844672 is a wasteful number, since it uses less digits than its factorization.

83115844672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26503803 (or 26503786 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 49.

The spelling of 83115844672 in words is "eighty-three billion, one hundred fifteen million, eight hundred forty-four thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 26503777 53007554 106015108 185526439 212030216 371052878 424060432 742105756 848120864 1298685073 1484211512 1696241728 2597370146 2968423024 5194740292 5936846048 10389480584 11873692096 20778961168 41557922336 83115844672