Search a number
-
+
16821377340 = 2235377577197
BaseRepresentation
bin11111010101010000…
…11101100100111100
31121102022101111200120
433222220131210330
5233422233033330
611421100254540
71133564230305
oct175250354474
947368344616
1016821377340
117152257849
123315541450
131780cb2421
14b580a37ac
15686b91c10
hex3eaa1d93c

16821377340 has 48 divisors (see below), whose sum is σ = 48372832032. Its totient is φ = 4364464896.

The previous prime is 16821377299. The next prime is 16821377341. The reversal of 16821377340 is 4377312861.

It is a super-2 number, since 2×168213773402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16821377292 and 16821377301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16821377341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3786379 + ... + 3790818.

It is an arithmetic number, because the mean of its divisors is an integer number (1007767334).

Almost surely, 216821377340 is an apocalyptic number.

16821377340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16821377340 is an abundant number, since it is smaller than the sum of its proper divisors (31551454692).

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

16821377340 is a wasteful number, since it uses less digits than its factorization.

16821377340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7577246 (or 7577244 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 16821377340 in words is "sixteen billion, eight hundred twenty-one million, three hundred seventy-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 7577197 15154394 22731591 30308788 37885985 45463182 75771970 90926364 113657955 151543940 227315910 280356289 454631820 560712578 841068867 1121425156 1401781445 1682137734 2803562890 3364275468 4205344335 5607125780 8410688670 16821377340