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64466266446 = 233103112310321
BaseRepresentation
bin111100000010011111…
…010010100101001110
320011101202122122112000
4330002133102211032
52024011331011241
645340531453130
74441351136451
oct740237224516
9204352578460
1064466266446
112538158815a
12105b17571a6
136104b524ba
143197adb498
151a248caeb6
hexf027d294e

64466266446 has 64 divisors (see below), whose sum is σ = 144792061440. Its totient is φ = 21259117440.

The previous prime is 64466266441. The next prime is 64466266463.

64466266446 is a `hidden beast` number, since 6 + 4 + 4 + 6 + 626 + 6 + 4 + 4 + 6 = 666.

64466266446 is nontrivially palindromic in base 10.

64466266446 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 64466266392 and 64466266401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64466266441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6240966 + ... + 6251286.

It is an arithmetic number, because the mean of its divisors is an integer number (2262375960).

Almost surely, 264466266446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64466266446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72396030720).

64466266446 is an abundant number, since it is smaller than the sum of its proper divisors (80325794994).

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

64466266446 is a wasteful number, since it uses less digits than its factorization.

64466266446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11558 (or 11552 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 54.

The spelling of 64466266446 in words is "sixty-four billion, four hundred sixty-six million, two hundred sixty-six thousand, four hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 103 206 309 618 927 1123 1854 2246 2781 3369 5562 6738 10107 10321 20214 20642 30321 30963 60642 61926 92889 115669 185778 231338 278667 347007 557334 694014 1041021 1063063 2082042 2126126 3123063 3189189 6246126 6378378 9567567 11590483 19135134 23180966 28702701 34771449 57405402 69542898 104314347 208628694 312943041 625886082 1193819749 2387639498 3581459247 7162918494 10744377741 21488755482 32233133223 64466266446