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63848706561 = 32137373138829
BaseRepresentation
bin111011011101101011…
…011111001000000001
320002210201121100121200
4323131223133020001
52021230232102221
645155351211413
74420142023353
oct733553371001
9202721540550
1063848706561
1125094a26292
121045a976b69
136036c19053
143139aa30d3
1519da590426
hexeddadf201

63848706561 has 24 divisors (see below), whose sum is σ = 93148821480. Its totient is φ = 42141517056.

The previous prime is 63848706479. The next prime is 63848706569. The reversal of 63848706561 is 16560784836.

63848706561 is a `hidden beast` number, since 6 + 3 + 8 + 4 + 8 + 70 + 6 + 561 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8275358961 + 55573347600 = 90969^2 + 235740^2 .

It is not a de Polignac number, because 63848706561 - 213 = 63848698369 is a prime.

It is a super-3 number, since 3×638487065613 (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 63848706498 and 63848706507.

It is not an unprimeable number, because it can be changed into a prime (63848706569) 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, 390495 + ... + 529323.

It is an arithmetic number, because the mean of its divisors is an integer number (3881200895).

Almost surely, 263848706561 is an apocalyptic number.

It is an amenable number.

63848706561 is a deficient number, since it is larger than the sum of its proper divisors (29300114919).

63848706561 is a wasteful number, since it uses less digits than its factorization.

63848706561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139345 (or 139342 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 63848706561 in words is "sixty-three billion, eight hundred forty-eight million, seven hundred six thousand, five hundred sixty-one".

Divisors: 1 3 9 137 373 411 1119 1233 3357 51101 138829 153303 416487 459909 1249461 19019573 51783217 57058719 155349651 171176157 466048953 7094300729 21282902187 63848706561