Search a number
-
+
57680776773 = 3217376998541
BaseRepresentation
bin110101101110000010…
…101100111001000101
312111212212120001120200
4311232002230321011
51421112234324043
642255335121113
74111245340644
oct655602547105
9174785501520
1057680776773
112250a327354
12b219213199
135593114359
142b1285d35b
151778d357d3
hexd6e0ace45

57680776773 has 12 divisors (see below), whose sum is σ = 88217658828. Its totient is φ = 36191859840.

The previous prime is 57680776753. The next prime is 57680776817. The reversal of 57680776773 is 37767708675.

57680776773 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 22079879649 + 35600897124 = 148593^2 + 188682^2 .

It is not a de Polignac number, because 57680776773 - 224 = 57663999557 is a prime.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 57680776773.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57680776753) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 188499118 + ... + 188499423.

It is an arithmetic number, because the mean of its divisors is an integer number (7351471569).

Almost surely, 257680776773 is an apocalyptic number.

It is an amenable number.

57680776773 is a deficient number, since it is larger than the sum of its proper divisors (30536882055).

57680776773 is a wasteful number, since it uses less digits than its factorization.

57680776773 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376998564 (or 376998561 counting only the distinct ones).

The product of its (nonzero) digits is 72606240, while the sum is 63.

The spelling of 57680776773 in words is "fifty-seven billion, six hundred eighty million, seven hundred seventy-six thousand, seven hundred seventy-three".

Divisors: 1 3 9 17 51 153 376998541 1130995623 3392986869 6408975197 19226925591 57680776773