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63121068 = 22321726067
BaseRepresentation
bin1111000011001…
…0011010101100
311101202212211100
43300302122230
5112124333233
610132523100
71364343303
oct360623254
9141685740
1063121068
11326a287a
1219180490
131010075a
14855143a
15581c813
hex3c326ac

63121068 has 54 divisors (see below), whose sum is σ = 169521716. Its totient is φ = 19799424.

The previous prime is 63121063. The next prime is 63121087. The reversal of 63121068 is 86012136.

63121068 is a `hidden beast` number, since 631 + 21 + 0 + 6 + 8 = 666.

63121068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (63121063) 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 17 ways as a sum of consecutive naturals, for example, 7371 + ... + 13437.

Almost surely, 263121068 is an apocalyptic number.

63121068 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63121068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84760858).

63121068 is an abundant number, since it is smaller than the sum of its proper divisors (106400648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

63121068 is a wasteful number, since it uses less digits than its factorization.

63121068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6111 (or 6089 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 63121068 is about 7944.8768398258. The cubic root of 63121068 is about 398.1604447264.

The spelling of 63121068 in words is "sixty-three million, one hundred twenty-one thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 578 612 867 1156 1734 2601 3468 5202 6067 10404 12134 18201 24268 36402 54603 72804 103139 109206 206278 218412 309417 412556 618834 928251 1237668 1753363 1856502 3506726 3713004 5260089 7013452 10520178 15780267 21040356 31560534 63121068