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64023344332046 = 21183228715331033
BaseRepresentation
bin11101000111010100110001…
…01100100011110100001110
322101200120102221120011020222
432203222120230203310032
531342424302122111141
6344055530210311342
716325351104460621
oct1643523054436416
9271616387504228
1064023344332046
1119444169876980
1272201a0588552
1329954b5b86448
1411b4a64197db8
157605da1d714b
hex3a3a98b23d0e

64023344332046 has 32 divisors (see below), whose sum is σ = 106074075115008. Its totient is φ = 28738326104640.

The previous prime is 64023344332027. The next prime is 64023344332049.

64023344332046 is nontrivially palindromic in base 10.

64023344332046 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 2×640233443320462 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 64023344331988 and 64023344332006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64023344332049) 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 15 ways as a sum of consecutive naturals, for example, 3489455 + ... + 11841578.

It is an arithmetic number, because the mean of its divisors is an integer number (3314814847344).

Almost surely, 264023344332046 is an apocalyptic number.

64023344332046 is a deficient number, since it is larger than the sum of its proper divisors (42050730782962).

64023344332046 is a wasteful number, since it uses less digits than its factorization.

64023344332046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15333416.

The product of its (nonzero) digits is 2985984, while the sum is 44.

The spelling of 64023344332046 in words is "sixty-four trillion, twenty-three billion, three hundred forty-four million, three hundred thirty-two thousand, forty-six".

Divisors: 1 2 11 22 83 166 913 1826 2287 4574 25157 50314 189821 379642 2088031 4176062 15331033 30662066 168641363 337282726 1272475739 2544951478 13997233129 27994466258 35062072471 70124144942 385682797181 771365594362 2910152015093 5820304030186 32011672166023 64023344332046