Search a number
-
+
2269563138693 = 323747193751351
BaseRepresentation
bin100001000001101100100…
…000010011001010000101
322000222010202110010021200
4201001230200103022011
5244141031130414233
64454342314333113
7322653614243424
oct41015440231205
98028122403250
102269563138693
117a5575251754
12307a3412a199
13136032651576
147bbc15492bb
153e08351c313
hex2106c813285

2269563138693 has 48 divisors (see below), whose sum is σ = 3456315373056. Its totient is φ = 1433359411200.

The previous prime is 2269563138679. The next prime is 2269563138701. The reversal of 2269563138693 is 3968313659622.

2269563138693 is a `hidden beast` number, since 2 + 2 + 6 + 9 + 563 + 1 + 3 + 8 + 69 + 3 = 666.

It is not a de Polignac number, because 2269563138693 - 29 = 2269563138181 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2269563138693.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2269563138643) 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, 2644968 + ... + 3396318.

It is an arithmetic number, because the mean of its divisors is an integer number (72006570272).

Almost surely, 22269563138693 is an apocalyptic number.

It is an amenable number.

2269563138693 is a deficient number, since it is larger than the sum of its proper divisors (1186752234363).

2269563138693 is a wasteful number, since it uses less digits than its factorization.

2269563138693 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751634 (or 751631 counting only the distinct ones).

The product of its digits is 75582720, while the sum is 63.

The spelling of 2269563138693 in words is "two trillion, two hundred sixty-nine billion, five hundred sixty-three million, one hundred thirty-eight thousand, six hundred ninety-three".

Divisors: 1 3 9 37 47 111 141 193 333 423 579 1737 1739 5217 7141 9071 15651 21423 27213 64269 81639 335627 751351 1006881 2254053 3020643 6762159 27799987 35313497 83399961 105940491 145010743 250199883 317821473 435032229 1305096687 1306599389 3919798167 5365397491 6815504921 11759394501 16096192473 20446514763 48288577419 61339544289 252173682077 756521046231 2269563138693