Search a number
-
+
7642662006663 = 324767811332513
BaseRepresentation
bin110111100110111001000…
…1001110110111110000111
31000001122001020220112000100
41233031302021312332013
52000204132433203123
624130553534415143
71416110201122335
oct157156211667607
930048036815010
107642662006663
112487264505992
12a352480614b3
134359139ab758
141c5c9a42ab55
15d3c0aad1643
hex6f372276f87

7642662006663 has 48 divisors (see below), whose sum is σ = 11456698046976. Its totient is φ = 4906201259520.

The previous prime is 7642662006659. The next prime is 7642662006671. The reversal of 7642662006663 is 3666002662467.

It is not a de Polignac number, because 7642662006663 - 22 = 7642662006659 is a prime.

It is a super-2 number, since 2×76426620066632 (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7642662056663) 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, 22818295 + ... + 23150807.

It is an arithmetic number, because the mean of its divisors is an integer number (238681209312).

Almost surely, 27642662006663 is an apocalyptic number.

7642662006663 is a deficient number, since it is larger than the sum of its proper divisors (3814036040313).

7642662006663 is a wasteful number, since it uses less digits than its factorization.

7642662006663 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333444 (or 333441 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 54.

The spelling of 7642662006663 in words is "seven trillion, six hundred forty-two billion, six hundred sixty-two million, six thousand, six hundred sixty-three".

Divisors: 1 3 9 47 67 141 201 423 603 811 2433 3149 7299 9447 28341 38117 54337 114351 163011 332513 343053 489033 997539 2553839 2992617 7661517 15628111 22278371 22984551 46884333 66835113 140652999 200505339 269668043 809004129 1047083437 2427012387 3141250311 9423750933 12674398021 18067758881 38023194063 54203276643 114069582189 162609829929 849184667407 2547554002221 7642662006663