Search a number
-
+
21274766037 = 327827408337
BaseRepresentation
bin10011110100000100…
…110010101011010101
32000220200020002111200
4103310010302223111
5322032320003122
613435024023113
71352131345650
oct236404625325
960820202450
1021274766037
119028061678
124158a61a99
132010819075
14105b718897
15847b245ac
hex4f4132ad5

21274766037 has 24 divisors (see below), whose sum is σ = 35162801856. Its totient is φ = 12142279296.

The previous prime is 21274766033. The next prime is 21274766041. The reversal of 21274766037 is 73066747212.

It is an interprime number because it is at equal distance from previous prime (21274766033) and next prime (21274766041).

It is not a de Polignac number, because 21274766037 - 22 = 21274766033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21274765983 and 21274766001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21274766033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152068 + ... + 256269.

It is an arithmetic number, because the mean of its divisors is an integer number (1465116744).

Almost surely, 221274766037 is an apocalyptic number.

It is an amenable number.

21274766037 is a deficient number, since it is larger than the sum of its proper divisors (13888035819).

21274766037 is a wasteful number, since it uses less digits than its factorization.

21274766037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409177 (or 409174 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

It can be divided in two parts, 212747 and 66037, that added together give a square (278784 = 5282).

The spelling of 21274766037 in words is "twenty-one billion, two hundred seventy-four million, seven hundred sixty-six thousand, thirty-seven".

Divisors: 1 3 7 9 21 63 827 2481 5789 7443 17367 52101 408337 1225011 2858359 3675033 8575077 25725231 337694699 1013084097 2363862893 3039252291 7091588679 21274766037