Search a number
-
+
21769818317 = 1325315592
BaseRepresentation
bin10100010001100101…
…010001000011001101
32002012011202100120022
4110101211101003031
5324041033141232
614000110431525
71400322255032
oct242145210315
962164670508
1021769818317
119261549795
1242768025a5
13208c25b100
1410a7383389
15876311812
hex5119510cd

21769818317 has 18 divisors (see below), whose sum is σ = 24033429162. Its totient is φ = 19703415264.

The previous prime is 21769818313. The next prime is 21769818319. The reversal of 21769818317 is 71381896712.

It can be written as a sum of positive squares in 3 ways, for example, as 294088201 + 21475730116 = 17149^2 + 146546^2 .

It is not a de Polignac number, because 21769818317 - 22 = 21769818313 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21769818313) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13963184 + ... + 13964742.

It is an arithmetic number, because the mean of its divisors is an integer number (1335190509).

Almost surely, 221769818317 is an apocalyptic number.

It is an amenable number.

21769818317 is a deficient number, since it is larger than the sum of its proper divisors (2263610845).

21769818317 is an frugal number, since it uses more digits than its factorization.

21769818317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3197 (or 1625 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 53.

Multiplying 21769818317 by its sum of digits (53), we get a square (1153800370801 = 10741512).

21769818317 divided by its sum of digits (53) gives a square (410751289 = 202672).

The spelling of 21769818317 in words is "twenty-one billion, seven hundred sixty-nine million, eight hundred eighteen thousand, three hundred seventeen".

Divisors: 1 13 53 169 689 1559 8957 20267 82627 263471 1074151 2430481 13963963 31596253 128815493 410751289 1674601409 21769818317