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376065750564 = 2234723121572
BaseRepresentation
bin1010111100011110100…
…00111111011000100100
31022221200200001112010000
411132033100333120210
522130140313004224
6444432350101300
736112155065100
oct5361720773044
91287620045100
10376065750564
11135541348569
1260a737aa830
1329602b5357a
14142b75a0900
159bb05940c9
hex578f43f624

376065750564 has 405 divisors, whose sum is σ = 1189273552929. Its totient is φ = 103319012160.

The previous prime is 376065750553. The next prime is 376065750569. The reversal of 376065750564 is 465057560673.

The square root of 376065750564 is 613242.

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

376065750564 is a `hidden beast` number, since 3 + 7 + 6 + 0 + 6 + 5 + 75 + 0 + 564 = 666.

It can be written as a sum of positive squares in only one way, i.e., 110230640100 + 265835110464 = 332010^2 + 515592^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 376065750564.

It is not an unprimeable number, because it can be changed into a prime (376065750569) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2395323174 + ... + 2395323330.

Almost surely, 2376065750564 is an apocalyptic number.

376065750564 is the 613242-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 376065750564

376065750564 is an abundant number, since it is smaller than the sum of its proper divisors (813207802365).

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

376065750564 is a wasteful number, since it uses less digits than its factorization.

376065750564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 15876000, while the sum is 54.

The spelling of 376065750564 in words is "three hundred seventy-six billion, sixty-five million, seven hundred fifty thousand, five hundred sixty-four".