Search a number
-
+
77270464501633 = 137385795009381
BaseRepresentation
bin10001100100011011101110…
…100101101001011110000001
3101010120222120112021000000001
4101210123232211221132001
540111444402403023013
6432201321130000001
722163415100155124
oct2144335645513601
9333528515230001
1077270464501633
1122691246857687
1287bb64a276001
13341675c0a2380
141511ca634a3bb
158deeae92eddd
hex4646ee969781

77270464501633 has 16 divisors (see below), whose sum is σ = 84452699547216. Its totient is φ = 70267417297920.

The previous prime is 77270464501619. The next prime is 77270464501673. The reversal of 77270464501633 is 33610546407277.

It can be written as a sum of positive squares in 8 ways, for example, as 2247981452929 + 75022483048704 = 1499327^2 + 8661552^2 .

It is a cyclic number.

It is not a de Polignac number, because 77270464501633 - 213 = 77270464493441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (77270464501673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46691398 + ... + 48317983.

It is an arithmetic number, because the mean of its divisors is an integer number (5278293721701).

Almost surely, 277270464501633 is an apocalyptic number.

77270464501633 is a gapful number since it is divisible by the number (73) formed by its first and last digit.

It is an amenable number.

77270464501633 is a deficient number, since it is larger than the sum of its proper divisors (7182235045583).

77270464501633 is a wasteful number, since it uses less digits than its factorization.

77270464501633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95010324.

The product of its (nonzero) digits is 17781120, while the sum is 55.

The spelling of 77270464501633 in words is "seventy-seven trillion, two hundred seventy billion, four hundred sixty-four million, five hundred one thousand, six hundred thirty-three".

Divisors: 1 13 73 857 949 11141 62561 813293 95009381 1235121953 6935684813 81423039517 90163902569 1058499513721 5943881884741 77270464501633