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64121016 = 2335714679
BaseRepresentation
bin1111010010011…
…0100010111000
311110122200111110
43310212202320
5112403333031
610210200320
71406006511
oct364464270
9143580443
1064121016
1133216083
12195830a0
131039093b
148731a08
155968c46
hex3d268b8

64121016 has 32 divisors (see below), whose sum is σ = 160617600. Its totient is φ = 21331680.

The previous prime is 64121011. The next prime is 64121021. The reversal of 64121016 is 61012146.

64121016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (64121011) and next prime (64121021).

It is a super-2 number, since 2×641210162 = 8223009385744512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 64120983 and 64121001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64121011) 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 7 ways as a sum of consecutive naturals, for example, 11365 + ... + 16043.

It is an arithmetic number, because the mean of its divisors is an integer number (5019300).

Almost surely, 264121016 is an apocalyptic number.

It is an amenable number.

64121016 is an abundant number, since it is smaller than the sum of its proper divisors (96496584).

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

64121016 is a wasteful number, since it uses less digits than its factorization.

64121016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5259 (or 5255 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 64121016 is about 8007.5599279681. The cubic root of 64121016 is about 400.2519579264.

The spelling of 64121016 in words is "sixty-four million, one hundred twenty-one thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 24 571 1142 1713 2284 3426 4568 4679 6852 9358 13704 14037 18716 28074 37432 56148 112296 2671709 5343418 8015127 10686836 16030254 21373672 32060508 64121016