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21871849774976 = 271717363192077
BaseRepresentation
bin1001111100100011011111…
…10101100001111110000000
32212102221001211001102020022
410332101233311201332000
510331322022020244401
6114303442235033012
74415121553416365
oct476215765417600
985387054042208
1021871849774976
116a72888000043
122552ab229b768
13c28677c70496
1455886319446c
1527de0c5db71b
hex13e46fd61f80

21871849774976 has 128 divisors (see below), whose sum is σ = 46476657783360. Its totient is φ = 10216811888640.

The previous prime is 21871849774919. The next prime is 21871849775003. The reversal of 21871849774976 is 67947794817812.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 21871849774976.

It is a congruent number.

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, 237492650 + ... + 237584726.

Almost surely, 221871849774976 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 21871849774976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23238328891680).

21871849774976 is an abundant number, since it is smaller than the sum of its proper divisors (24604808008384).

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

21871849774976 is a wasteful number, since it uses less digits than its factorization.

21871849774976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92912 (or 92900 counting only the distinct ones).

The product of its digits is 2389782528, while the sum is 80.

The spelling of 21871849774976 in words is "twenty-one trillion, eight hundred seventy-one billion, eight hundred forty-nine million, seven hundred seventy-four thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 173 272 346 544 631 692 1088 1262 1384 2176 2524 2768 2941 5048 5536 5882 10096 10727 11072 11764 20192 21454 22144 23528 40384 42908 47056 80768 85816 92077 94112 109163 171632 184154 188224 218326 343264 368308 376448 436652 686528 736616 873304 1373056 1473232 1565309 1746608 1855771 2946464 3130618 3493216 3711542 5892928 6261236 6986432 7423084 11785856 12522472 13972864 14846168 15929321 25044944 29692336 31858642 50089888 58100587 59384672 63717284 100179776 116201174 118769344 127434568 200359552 232402348 237538688 254869136 270798457 464804696 509738272 541596914 929609392 987709979 1019476544 1083193828 1859218784 1975419958 2038953088 2166387656 3718437568 3950839916 4332775312 7436875136 7901679832 8665550624 10051401551 15803359664 17331101248 20102803102 31606719328 34662202496 40205606204 63213438656 80411212408 126426877312 160822424816 170873826367 321644849632 341747652734 643289699264 683495305468 1286579398528 1366990610936 2733981221872 5467962443744 10935924887488 21871849774976