Search a number
-
+
21719990340 = 22325439274867
BaseRepresentation
bin10100001110100111…
…001100000001000100
32002001200222211102200
4110032213030001010
5323440304142330
613551130434500
71366145604666
oct241647140104
962050884380
1021719990340
119236406244
124261b92a30
132081b330b9
1410a08d2536
15871c6ca60
hex50e9cc044

21719990340 has 72 divisors (see below), whose sum is σ = 66034288320. Its totient is φ = 5778782784.

The previous prime is 21719990339. The next prime is 21719990363. The reversal of 21719990340 is 4309991712.

21719990340 is a `hidden beast` number, since 217 + 1 + 9 + 9 + 90 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 58414 + ... + 216453.

Almost surely, 221719990340 is an apocalyptic number.

21719990340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21719990340 is an abundant number, since it is smaller than the sum of its proper divisors (44314297980).

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

21719990340 is a wasteful number, since it uses less digits than its factorization.

21719990340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275321 (or 275316 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 21719990340 in words is "twenty-one billion, seven hundred nineteen million, nine hundred ninety thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 439 878 1317 1756 2195 2634 3951 4390 5268 6585 7902 8780 13170 15804 19755 26340 39510 79020 274867 549734 824601 1099468 1374335 1649202 2473803 2748670 3298404 4123005 4947606 5497340 8246010 9895212 12369015 16492020 24738030 49476060 120666613 241333226 361999839 482666452 603333065 723999678 1085999517 1206666130 1447999356 1809999195 2171999034 2413332260 3619998390 4343998068 5429997585 7239996780 10859995170 21719990340