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544413350464 = 2661977142733
BaseRepresentation
bin1111110110000011001…
…00000111101001000000
31221001020002202200102121
413323001210013221000
532404424304203324
61054033335254024
754222033061204
oct7730144075100
91831202680377
10544413350464
1119a980164015
1289616b1a314
133c451658bc9
141c4c79c2b04
15e264cde5e4
hex7ec1907a40

544413350464 has 56 divisors (see below), whose sum is σ = 1099161990648. Its totient is φ = 267468349440.

The previous prime is 544413350401. The next prime is 544413350491. The reversal of 544413350464 is 464053314445.

It can be written as a sum of positive squares in 4 ways, for example, as 5774784064 + 538638566400 = 75992^2 + 733920^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 544413350464.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3742842 + ... + 3885574.

Almost surely, 2544413350464 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 544413350464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549580995324).

544413350464 is an abundant number, since it is smaller than the sum of its proper divisors (554748640184).

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

544413350464 is a wasteful number, since it uses less digits than its factorization.

544413350464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143783 (or 143773 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 43.

The spelling of 544413350464 in words is "five hundred forty-four billion, four hundred thirteen million, three hundred fifty thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 61 64 122 244 488 976 977 1952 1954 3904 3908 7816 15632 31264 59597 62528 119194 142733 238388 285466 476776 570932 953552 1141864 1907104 2283728 3814208 4567456 8706713 9134912 17413426 34826852 69653704 139307408 139450141 278614816 278900282 557229632 557800564 1115601128 2231202256 4462404512 8506458601 8924809024 17012917202 34025834404 68051668808 136103337616 272206675232 544413350464