Search a number
-
+
56939981641 = 1946612
BaseRepresentation
bin110101000001111000…
…110010101101001001
312102222020121202200221
4311001320302231021
51413103113403031
642054033230041
74054011600244
oct650170625511
9172866552627
1056939981641
112216a153a74
12b051102321
1354a57c053a
142a8230625b
151733ca5a11
hexd41e32b49

56939981641 has 15 divisors (see below), whose sum is σ = 60194355063. Its totient is φ = 53861532120.

The previous prime is 56939981633. The next prime is 56939981653. The reversal of 56939981641 is 14618993965.

The square root of 56939981641 is 238621.

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

It can be written as a sum of positive squares in only one way, i.e., 45211091641 + 11728890000 = 212629^2 + 108300^2 .

It is not a de Polignac number, because 56939981641 - 23 = 56939981633 is a prime.

It is a super-3 number, since 3×569399816413 (a number of 33 digits) contains 333 as substring.

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 56939981641.

It is not an unprimeable number, because it can be changed into a prime (56939981741) 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 14 ways as a sum of consecutive naturals, for example, 86141851 + ... + 86142511.

Almost surely, 256939981641 is an apocalyptic number.

56939981641 is the 238621-st square number.

56939981641 is the 119311-st centered octagonal number.

It is an amenable number.

56939981641 is a deficient number, since it is larger than the sum of its proper divisors (3254373422).

56939981641 is an frugal number, since it uses more digits than its factorization.

56939981641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398 (or 680 counting only the distinct ones).

The product of its digits is 12597120, while the sum is 61.

The spelling of 56939981641 in words is "fifty-six billion, nine hundred thirty-nine million, nine hundred eighty-one thousand, six hundred forty-one".

Divisors: 1 19 361 661 6859 12559 130321 238621 436921 4533799 8301499 86142181 157728481 2996841139 56939981641