Search a number
-
+
21692158488 = 2332721113193173
BaseRepresentation
bin10100001100111101…
…000001001000011000
32001222202121211022100
4110030331001020120
5323411143032423
613544254123400
71365360206400
oct241475011030
961882554270
1021692158488
119221726810
1242547b0560
132079139c50
14109ad29800
1586e5c1343
hex50cf41218

21692158488 has 1152 divisors, whose sum is σ = 88436275200. Its totient is φ = 4702924800.

The previous prime is 21692158459. The next prime is 21692158531. The reversal of 21692158488 is 88485129612.

21692158488 is a `hidden beast` number, since 2 + 1 + 6 + 9 + 2 + 158 + 488 = 666.

It is a super-2 number, since 2×216921584882 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 297152820 + ... + 297152892.

It is an arithmetic number, because the mean of its divisors is an integer number (76767600).

Almost surely, 221692158488 is an apocalyptic number.

21692158488 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21692158488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44218137600).

21692158488 is an abundant number, since it is smaller than the sum of its proper divisors (66744116712).

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

21692158488 is a wasteful number, since it uses less digits than its factorization.

21692158488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 159 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 54.

The spelling of 21692158488 in words is "twenty-one billion, six hundred ninety-two million, one hundred fifty-eight thousand, four hundred eighty-eight".