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20755692848 = 2411891498893
BaseRepresentation
bin10011010101001000…
…101011110100110000
31222120111111102221202
4103111020223310300
5320001424132343
613311322310332
71333226323022
oct232510536460
958514442852
1020755692848
118891058270
1240330583a8
131c5a116677
14100c7da012
1581728edb8
hex4d522bd30

20755692848 has 80 divisors (see below), whose sum is σ = 44665668000. Its totient is φ = 9264752640.

The previous prime is 20755692829. The next prime is 20755692949. The reversal of 20755692848 is 84829655702.

It is a happy number.

It is a super-2 number, since 2×207556928482 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20755692793 and 20755692802.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2329490 + ... + 2338382.

It is an arithmetic number, because the mean of its divisors is an integer number (558320850).

Almost surely, 220755692848 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 20755692848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22332834000).

20755692848 is an abundant number, since it is smaller than the sum of its proper divisors (23909975152).

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

20755692848 is a wasteful number, since it uses less digits than its factorization.

20755692848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9150 (or 9144 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 56.

The spelling of 20755692848 in words is "twenty billion, seven hundred fifty-five million, six hundred ninety-two thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 89 149 176 178 298 356 596 712 979 1192 1424 1639 1958 2384 3278 3916 6556 7832 8893 13112 13261 15664 17786 26224 26522 35572 53044 71144 97823 106088 142288 145871 195646 212176 291742 391292 583484 782584 791477 1166968 1325057 1565168 1582954 2333936 2650114 3165908 5300228 6331816 8706247 10600456 12663632 14575627 17412494 21200912 29151254 34824988 58302508 69649976 116605016 117930073 139299952 233210032 235860146 471720292 943440584 1297230803 1886881168 2594461606 5188923212 10377846424 20755692848