Search a number
-
+
21467270164326 = 2373233167218357
BaseRepresentation
bin1001110000110001111010…
…00000110010111101100110
32211000020202222010201110020
410320120331000302331212
510303204432130224301
6113353532221540010
74343646652443000
oct470307500627546
984006688121406
1021467270164326
1169272443a2458
1224a8601414606
13bc947c90356c
14543042ac1370
1527362db2b436
hex13863d032f66

21467270164326 has 256 divisors, whose sum is σ = 54736935321600. Its totient is φ = 5592813367680.

The previous prime is 21467270164321. The next prime is 21467270164369. The reversal of 21467270164326 is 62346107276412.

It is a super-2 number, since 2×214672701643262 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21467270164321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 98203540 + ... + 98421896.

It is an arithmetic number, because the mean of its divisors is an integer number (213816153600).

Almost surely, 221467270164326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21467270164326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27368467660800).

21467270164326 is an abundant number, since it is smaller than the sum of its proper divisors (33269665157274).

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

21467270164326 is a wasteful number, since it uses less digits than its factorization.

21467270164326 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218504 (or 218490 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 51.

The spelling of 21467270164326 in words is "twenty-one trillion, four hundred sixty-seven billion, two hundred seventy million, one hundred sixty-four thousand, three hundred twenty-six".