Search a number
-
+
21427220646 = 23213315355733
BaseRepresentation
bin10011111101001010…
…010111000010100110
32001022022002120220200
4103331022113002212
5322340332030041
613502111411330
71355662241016
oct237512270246
961268076820
1021427220646
1190a6120017
12419bb23b46
1320362972b0
141073a81c46
158561db1b6
hex4fd2970a6

21427220646 has 96 divisors (see below), whose sum is σ = 52584360192. Its totient is φ = 6259818240.

The previous prime is 21427220641. The next prime is 21427220657. The reversal of 21427220646 is 64602272412.

21427220646 is a `hidden beast` number, since 2 + 1 + 4 + 2 + 7 + 2 + 2 + 0 + 646 = 666.

It is a super-2 number, since 2×214272206462 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21427220646.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21427220641) 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, 356596 + ... + 412328.

It is an arithmetic number, because the mean of its divisors is an integer number (547753752).

Almost surely, 221427220646 is an apocalyptic number.

21427220646 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21427220646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26292180096).

21427220646 is an abundant number, since it is smaller than the sum of its proper divisors (31157139546).

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

21427220646 is a wasteful number, since it uses less digits than its factorization.

21427220646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55838 (or 55835 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 21427220646 in words is "twenty-one billion, four hundred twenty-seven million, two hundred twenty thousand, six hundred forty-six".

Divisors: 1 2 3 6 9 13 18 26 31 39 53 62 78 93 106 117 159 186 234 279 318 403 477 558 689 806 954 1209 1378 1643 2067 2418 3286 3627 4134 4929 6201 7254 9858 12402 14787 21359 29574 42718 55733 64077 111466 128154 167199 192231 334398 384462 501597 724529 1003194 1449058 1727723 2173587 2953849 3455446 4347174 5183169 5907698 6520761 8861547 10366338 13041522 15549507 17723094 22460399 26584641 31099014 38400037 44920798 53169282 67381197 76800074 91569319 115200111 134762394 183138638 202143591 230400222 274707957 345600333 404287182 549415914 691200666 824123871 1190401147 1648247742 2380802294 3571203441 7142406882 10713610323 21427220646