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8553486461 = 132941532197
BaseRepresentation
bin1111111011101001…
…11101100001111101
3211002002220010120212
413331310331201331
5120004143031321
63532430522205
7421651302212
oct77564754175
924062803525
108553486461
11369a246a83
1217a8666365
13a641044c0
145b1dc3b09
15350dcb55b
hex1fdd3d87d

8553486461 has 48 divisors (see below), whose sum is σ = 9999657360. Its totient is φ = 7259965440.

The previous prime is 8553486407. The next prime is 8553486479. The reversal of 8553486461 is 1646843558.

It can be written as a sum of positive squares in 24 ways, for example, as 3552875236 + 5000611225 = 59606^2 + 70715^2 .

It is not a de Polignac number, because 8553486461 - 214 = 8553470077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8553486061) 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 47 ways as a sum of consecutive naturals, for example, 43418615 + ... + 43418811.

It is an arithmetic number, because the mean of its divisors is an integer number (208326195).

Almost surely, 28553486461 is an apocalyptic number.

It is an amenable number.

8553486461 is a deficient number, since it is larger than the sum of its proper divisors (1446170899).

8553486461 is a wasteful number, since it uses less digits than its factorization.

8553486461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 333 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 50.

The square root of 8553486461 is about 92485.0607449657. The cubic root of 8553486461 is about 2045.0992561864.

The spelling of 8553486461 in words is "eight billion, five hundred fifty-three million, four hundred eighty-six thousand, four hundred sixty-one".

Divisors: 1 13 29 41 53 197 377 533 689 1189 1537 2173 2561 2809 5713 8077 10441 15457 19981 28249 36517 63017 74269 81461 105001 115169 135733 234233 302789 428081 553373 819221 1058993 1497197 3045029 3339901 3936257 5565053 7193849 12414349 16047817 22688293 43418713 161386537 208621621 294947809 657960497 8553486461