Search a number
-
+
5683888945680 = 24351130731722123
BaseRepresentation
bin101001010110110001000…
…1011100111101000010000
3202010101002222211011110120
41102231202023213220100
51221111101032230210
620031050442030240
71124435031612621
oct122554213475020
922111088734416
105683888945680
1118a1584149630
127796aaaa8380
13322cb0763a6a
1415915d08ba48
159ccb7198270
hex52b622e7a10

5683888945680 has 320 divisors, whose sum is σ = 19346199763968. Its totient is φ = 1369029703680.

The previous prime is 5683888945547. The next prime is 5683888945717. The reversal of 5683888945680 is 865498883865.

It is a junction number, because it is equal to n+sod(n) for n = 5683888945596 and 5683888945605.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 256911099 + ... + 256933221.

Almost surely, 25683888945680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5683888945680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9673099881984).

5683888945680 is an abundant number, since it is smaller than the sum of its proper divisors (13662310818288).

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

5683888945680 is a wasteful number, since it uses less digits than its factorization.

5683888945680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22774 (or 22768 counting only the distinct ones).

The product of its (nonzero) digits is 3185049600, while the sum is 78.

The spelling of 5683888945680 in words is "five trillion, six hundred eighty-three billion, eight hundred eighty-eight million, nine hundred forty-five thousand, six hundred eighty".