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63117681 = 31123137607
BaseRepresentation
bin1111000011000…
…1100101110001
311101202201011220
43300301211301
5112124231211
610132455253
71364330364
oct360614561
9141681156
1063117681
11326a0280
121917a529
13100cc053
1485500db
15581b806
hex3c31971

63117681 has 32 divisors (see below), whose sum is σ = 96657408. Its totient is φ = 36263040.

The previous prime is 63117653. The next prime is 63117683. The reversal of 63117681 is 18671136.

63117681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 63117681 - 29 = 63117169 is a prime.

It is a super-2 number, since 2×631176812 = 7967683309635522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (63117683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103680 + ... + 104286.

It is an arithmetic number, because the mean of its divisors is an integer number (3020544).

Almost surely, 263117681 is an apocalyptic number.

It is an amenable number.

63117681 is a deficient number, since it is larger than the sum of its proper divisors (33539727).

63117681 is a wasteful number, since it uses less digits than its factorization.

63117681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781.

The product of its digits is 6048, while the sum is 33.

The square root of 63117681 is about 7944.6636807356. The cubic root of 63117681 is about 398.1533229967.

The spelling of 63117681 in words is "sixty-three million, one hundred seventeen thousand, six hundred eighty-one".

Divisors: 1 3 11 23 33 69 137 253 411 607 759 1507 1821 3151 4521 6677 9453 13961 20031 34661 41883 83159 103983 153571 249477 460713 914749 1912657 2744247 5737971 21039227 63117681