Search a number
-
+
664561001478 = 231123227170237
BaseRepresentation
bin10011010101110101110…
…11000010010000000110
32100112100101202202001010
421222322323002100012
541342010104021403
61225143424343050
766004304211063
oct11527273022006
92315311682033
10664561001478
112369253a6570
12a8968174a86
134a88b2cbc2a
14242447a1c6a
1512447c0d603
hex9abaec2406

664561001478 has 96 divisors (see below), whose sum is σ = 1521348337152. Its totient is φ = 191912846400.

The previous prime is 664561001453. The next prime is 664561001479. The reversal of 664561001478 is 874100165466.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (664561001479) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9426576 + ... + 9496812.

It is an arithmetic number, because the mean of its divisors is an integer number (15847378512).

Almost surely, 2664561001478 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 664561001478, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760674168576).

664561001478 is an abundant number, since it is smaller than the sum of its proper divisors (856787335674).

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

664561001478 is a wasteful number, since it uses less digits than its factorization.

664561001478 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70570 (or 70547 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 664561001478 in words is "six hundred sixty-four billion, five hundred sixty-one million, one thousand, four hundred seventy-eight".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 253 271 506 529 542 759 813 1058 1518 1587 1626 2981 3174 5819 5962 6233 8943 11638 12466 17457 17886 18699 34914 37398 68563 70237 137126 140474 143359 205689 210711 286718 411378 421422 430077 772607 860154 1545214 1576949 1615451 2317821 3153898 3230902 4635642 4730847 4846353 9461694 9692706 17769961 19034227 35539922 37155373 38068454 53309883 57102681 74310746 106619766 111466119 114205362 209376497 222932238 408709103 418752994 437787221 628129491 817418206 875574442 1226127309 1256258982 1313361663 2452254618 2626723326 4815659431 9631318862 10069106083 14446978293 20138212166 28893956586 30207318249 60414636498 110760166913 221520333826 332280500739 664561001478