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64464040406442 = 23191095239919379
BaseRepresentation
bin11101010100001001101000…
…01110101010110110101010
322110020200221210222022022110
432222010310032222312222
531422134323321001232
6345034212112503150
716402242005344065
oct1652046416526652
9273220853868273
1064464040406442
11195a4056265306
12729169084aab6
1329c7c18840681
1411cc10d15d8dc
1576bcce761acc
hex3aa1343aadaa

64464040406442 has 64 divisors (see below), whose sum is σ = 137220735168000. Its totient is φ = 20131734748608.

The previous prime is 64464040406429. The next prime is 64464040406449. The reversal of 64464040406442 is 24460404046446.

64464040406442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×644640404064422 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 64464040406391 and 64464040406400.

It is not an unprimeable number, because it can be changed into a prime (64464040406449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1539109 + ... + 11458487.

It is an arithmetic number, because the mean of its divisors is an integer number (2144073987000).

Almost surely, 264464040406442 is an apocalyptic number.

64464040406442 is an abundant number, since it is smaller than the sum of its proper divisors (72756694761558).

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

64464040406442 is a wasteful number, since it uses less digits than its factorization.

64464040406442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9920035.

The product of its (nonzero) digits is 7077888, while the sum is 48.

The spelling of 64464040406442 in words is "sixty-four trillion, four hundred sixty-four billion, forty million, four hundred six thousand, four hundred forty-two".

Divisors: 1 2 3 6 19 38 57 109 114 218 327 523 654 1046 1569 2071 3138 4142 6213 9937 12426 19874 29811 57007 59622 114014 171021 342042 1083133 2166266 3249399 6498798 9919379 19838758 29758137 59516274 188468201 376936402 565404603 1081212311 1130809206 2162424622 3243636933 5187835217 6487273866 10375670434 15563505651 20543033909 31127011302 41086067818 61629101727 98568869123 123258203454 197137738246 295706607369 565474038653 591413214738 1130948077306 1696422115959 3392844231918 10744006734407 21488013468814 32232020203221 64464040406442