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6630400557 = 35112480509
BaseRepresentation
bin1100010110011001…
…11110001000101101
3122010002021020200000
412023030332020231
5102034340304212
63013532254513
7323210321604
oct61314761055
918102236600
106630400557
1128a2763090
121350611439
13818879a51
1446c82aa3b
1528c15d1dc
hex18b33e22d

6630400557 has 24 divisors (see below), whose sum is σ = 10834867680. Its totient is φ = 4018422960.

The previous prime is 6630400519. The next prime is 6630400583. The reversal of 6630400557 is 7550040366.

6630400557 is a `hidden beast` number, since 6 + 63 + 0 + 40 + 0 + 557 = 666.

It is a de Polignac number, because none of the positive numbers 2k-6630400557 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6630400457) 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 23 ways as a sum of consecutive naturals, for example, 1237582 + ... + 1242927.

It is an arithmetic number, because the mean of its divisors is an integer number (451452820).

Almost surely, 26630400557 is an apocalyptic number.

It is an amenable number.

6630400557 is a deficient number, since it is larger than the sum of its proper divisors (4204467123).

6630400557 is a wasteful number, since it uses less digits than its factorization.

6630400557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2480535 (or 2480523 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 6630400557 is about 81427.2715802267. The cubic root of 6630400557 is about 1878.6530790117.

The spelling of 6630400557 in words is "six billion, six hundred thirty million, four hundred thousand, five hundred fifty-seven".

Divisors: 1 3 9 11 27 33 81 99 243 297 891 2673 2480509 7441527 22324581 27285599 66973743 81856797 200921229 245570391 602763687 736711173 2210133519 6630400557