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648045930169 = 11466532
BaseRepresentation
bin10010110111000101000…
…11000010011010111001
32021221201102202012020101
421123202203002122321
541104144224231134
61213412545155401
764551116343121
oct11334243023271
92257642665211
10648045930169
1122a920040000
12a571932bb61
13491589149a1
1423519273c81
1511cccdc3e14
hex96e28c26b9

648045930169 has 15 divisors (see below), whose sum is σ = 712953259615. Its totient is φ = 589044112360.

The previous prime is 648045930163. The next prime is 648045930197. The reversal of 648045930169 is 961039540846.

It is a happy number.

The square root of 648045930169 is 805013.

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., 15683805225 + 632362124944 = 125235^2 + 795212^2 .

It is not a de Polignac number, because 648045930169 - 223 = 648037541561 is a prime.

It is a super-2 number, since 2×6480459301692 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (648045930163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 97403247 + ... + 97409899.

Almost surely, 2648045930169 is an apocalyptic number.

648045930169 is the 805013-rd square number.

648045930169 is the 402507-th centered octagonal number.

It is an amenable number.

648045930169 is a deficient number, since it is larger than the sum of its proper divisors (64907329446).

648045930169 is an frugal number, since it uses more digits than its factorization.

With its predecessor (648045930168) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (6664).

648045930169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13350 (or 6664 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 55.

The spelling of 648045930169 in words is "six hundred forty-eight billion, forty-five million, nine hundred thirty thousand, one hundred sixty-nine".

Divisors: 1 11 121 1331 6653 14641 73183 805013 8855143 44262409 97406573 486886499 5355751489 58913266379 648045930169