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664432103221 = 61672109113197
BaseRepresentation
bin10011010101100110011…
…11010100111100110101
32100112000102020000212121
421222303033110330311
541341224104300341
61225122541515541
766001150456315
oct11526317247465
92315012200777
10664432103221
11236869667387
12a8930b72bb1
134a86a6aaa83
142423160b445
151243b74b4d1
hex9ab33d4f35

664432103221 has 48 divisors (see below), whose sum is σ = 701509319280. Its totient is φ = 629024901120.

The previous prime is 664432103213. The next prime is 664432103299. The reversal of 664432103221 is 122301234466.

It can be written as a sum of positive squares in 8 ways, for example, as 27675982321 + 636756120900 = 166361^2 + 797970^2 .

It is not a de Polignac number, because 664432103221 - 23 = 664432103213 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (664432103021) 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 47 ways as a sum of consecutive naturals, for example, 3372751695 + ... + 3372751891.

It is an arithmetic number, because the mean of its divisors is an integer number (14614777485).

Almost surely, 2664432103221 is an apocalyptic number.

664432103221 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

664432103221 is a deficient number, since it is larger than the sum of its proper divisors (37077216059).

664432103221 is a wasteful number, since it uses less digits than its factorization.

664432103221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

Adding to 664432103221 its reverse (122301234466), we get a palindrome (786733337687).

The spelling of 664432103221 in words is "six hundred sixty-four billion, four hundred thirty-two million, one hundred three thousand, two hundred twenty-one".

Divisors: 1 61 67 109 113 197 4087 4489 6649 6893 7303 7571 12017 12317 13199 21473 22261 273829 445483 461831 489301 507257 751337 805139 825239 884333 1309853 1357921 1438691 1491487 2426449 29847361 30942677 50339579 53944313 55291013 87760151 90980707 96392297 99929629 148013389 162572083 3372751793 5879930117 6095707369 9916897063 10892329561 664432103221