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5592641680 = 245661105761
BaseRepresentation
bin1010011010101100…
…01111000010010000
3112102202112122010001
411031112033002100
542423204013210
62322541415344
7255406445533
oct51526170220
915382478101
105592641680
11240a99a51a
121100b6a554
136b187c142
143b0a90a1a
1522aebe03a
hex14d58f090

5592641680 has 40 divisors (see below), whose sum is σ = 13022686584. Its totient is φ = 2233651200.

The previous prime is 5592641669. The next prime is 5592641687. The reversal of 5592641680 is 861462955.

5592641680 is a nontrivial binomial coefficient, being equal to C(105761, 2).

It can be written as a sum of positive squares in 4 ways, for example, as 123743376 + 5468898304 = 11124^2 + 73952^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5592641680.

It is not an unprimeable number, because it can be changed into a prime (5592641687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1 + ... + 105760.

Almost surely, 25592641680 is an apocalyptic number.

5592641680 is the 105760-th triangular number.

5592641680 is the 35254-th centered nonagonal number.

It is an amenable number.

5592641680 is an abundant number, since it is smaller than the sum of its proper divisors (7430044904).

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

5592641680 is a wasteful number, since it uses less digits than its factorization.

5592641680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106435 (or 106429 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 46.

The square root of 5592641680 is about 74783.9667308441. The cubic root of 5592641680 is about 1775.0298671163.

The spelling of 5592641680 in words is "five billion, five hundred ninety-two million, six hundred forty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 661 1322 2644 3305 5288 6610 10576 13220 26440 52880 105761 211522 423044 528805 846088 1057610 1692176 2115220 4230440 8460880 69908021 139816042 279632084 349540105 559264168 699080210 1118528336 1398160420 2796320840 5592641680