Search a number
-
+
649014778521 = 321729146273333
BaseRepresentation
bin10010111000111000100…
…10111001101010011001
32022001012221210210022200
421130130102321222121
541113140240403041
61214053035040413
764614122410644
oct11343422715231
92261187723280
10649014778521
11230277a1711a
12a59498a0109
1349281565935
14235abbd2a5b
1511d37ea01b6
hex971c4b9a99

649014778521 has 24 divisors (see below), whose sum is σ = 1026838804680. Its totient is φ = 393182716416.

The previous prime is 649014778441. The next prime is 649014778523. The reversal of 649014778521 is 125877410946.

649014778521 is a `hidden beast` number, since 6 + 4 + 9 + 0 + 1 + 47 + 78 + 521 = 666.

649014778521 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 4 ways, for example, as 377719638921 + 271295139600 = 614589^2 + 520860^2 .

It is not a de Polignac number, because 649014778521 - 210 = 649014777497 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (649014778523) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73132230 + ... + 73141103.

It is an arithmetic number, because the mean of its divisors is an integer number (42784950195).

Almost surely, 2649014778521 is an apocalyptic number.

It is an amenable number.

649014778521 is a deficient number, since it is larger than the sum of its proper divisors (377824026159).

649014778521 is a wasteful number, since it uses less digits than its factorization.

649014778521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146273385 (or 146273382 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 649014778521 in words is "six hundred forty-nine billion, fourteen million, seven hundred seventy-eight thousand, five hundred twenty-one".

Divisors: 1 3 9 17 29 51 87 153 261 493 1479 4437 146273333 438819999 1316459997 2486646661 4241926657 7459939983 12725779971 22379819949 38177339913 72112753169 216338259507 649014778521