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64144644146 = 2112372771119
BaseRepresentation
bin111011101111010100…
…011001100000110010
320010120100110112122222
4323233110121200302
52022332012103041
645245002201042
74430364323222
oct735724314062
9203510415588
1064144644146
1125226a85600
1210521ab3182
136083323a4b
1431670da082
151a0654a74b
hexeef519832

64144644146 has 24 divisors (see below), whose sum is σ = 105789008640. Its totient is φ = 29148423480.

The previous prime is 64144644143. The next prime is 64144644229.

64144644146 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×641446441462 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 64144644097 and 64144644106.

It is not an unprimeable number, because it can be changed into a prime (64144644143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 866375 + ... + 937493.

It is an arithmetic number, because the mean of its divisors is an integer number (4407875360).

Almost surely, 264144644146 is an apocalyptic number.

64144644146 is a deficient number, since it is larger than the sum of its proper divisors (41644364494).

64144644146 is a wasteful number, since it uses less digits than its factorization.

64144644146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74870 (or 74859 counting only the distinct ones).

The product of its digits is 884736, while the sum is 44.

The spelling of 64144644146 in words is "sixty-four billion, one hundred forty-four million, six hundred forty-four thousand, one hundred forty-six".

Divisors: 1 2 11 22 121 242 3727 7454 40997 71119 81994 142238 450967 782309 901934 1564618 8605399 17210798 265060513 530121026 2915665643 5831331286 32072322073 64144644146