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42802644544 = 2611223512
BaseRepresentation
bin100111110111001111…
…001000011001000000
311002110222201122001021
4213313033020121000
51200124434111134
631355133115224
73043455322102
oct476717103100
9132428648037
1042802644544
1117174a82400
128366628b14
1340618c740a
1421008bd572
1511a7a950b4
hex9f73c8640

42802644544 has 63 divisors (see below), whose sum is σ = 93399679723. Its totient is φ = 19447472000.

The previous prime is 42802644541. The next prime is 42802644559. The reversal of 42802644544 is 44544620824.

The square root of 42802644544 is 206888.

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

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 42802644544.

It is not an unprimeable number, because it can be changed into a prime (42802644541) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 18204969 + ... + 18207319.

Almost surely, 242802644544 is an apocalyptic number.

42802644544 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

42802644544 is the 206888-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42802644544

42802644544 is an abundant number, since it is smaller than the sum of its proper divisors (50597035179).

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

42802644544 is an frugal number, since it uses more digits than its factorization.

42802644544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4736 (or 2364 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 43.

The spelling of 42802644544 in words is "forty-two billion, eight hundred two million, six hundred forty-four thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 2351 3872 4702 7744 9404 18808 25861 37616 51722 75232 103444 150464 206888 284471 413776 568942 827552 1137884 1655104 2275768 4551536 5527201 9103072 11054402 18206144 22108804 44217608 60799211 88435216 121598422 176870432 243196844 353740864 486393688 668791321 972787376 1337582642 1945574752 2675165284 3891149504 5350330568 10700661136 21401322272 42802644544