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104817420968 = 231331137307773
BaseRepresentation
bin110000110011110011…
…0101110101010101000
3101000112220110200110112
41201213212232222220
53204131224432333
6120052533033452
710400321243411
oct1414746565250
9330486420415
10104817420968
11404a8779847
1218393185888
139b658a35b0
145104b96808
152ad7128948
hex18679aeaa8

104817420968 has 128 divisors (see below), whose sum is σ = 221075205120. Its totient is φ = 46263674880.

The previous prime is 104817420941. The next prime is 104817420989. The reversal of 104817420968 is 869024718401.

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 31 ways as a sum of consecutive naturals, for example, 135597830 + ... + 135598602.

It is an arithmetic number, because the mean of its divisors is an integer number (1727150040).

Almost surely, 2104817420968 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 104817420968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110537602560).

104817420968 is an abundant number, since it is smaller than the sum of its proper divisors (116257784152).

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

104817420968 is a wasteful number, since it uses less digits than its factorization.

104817420968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 50.

The spelling of 104817420968 in words is "one hundred four billion, eight hundred seventeen million, four hundred twenty thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 26 31 52 62 104 124 137 248 274 307 403 548 614 773 806 1096 1228 1546 1612 1781 2456 3092 3224 3562 3991 4247 6184 7124 7982 8494 9517 10049 14248 15964 16988 19034 20098 23963 31928 33976 38068 40196 42059 47926 55211 76136 80392 84118 95852 105901 110422 123721 168236 191704 211802 220844 237311 247442 311519 336472 423604 441688 474622 494884 546767 623038 847208 949244 989768 1093534 1246076 1303829 1376713 1898488 2187068 2492152 2607658 2753426 3085043 3282931 4374136 5215316 5506852 6170086 6565862 7356641 10430632 11013704 12340172 13131724 14713282 16949777 24680344 26263448 29426564 32511607 33899554 42678103 58853128 65023214 67799108 85356206 95636333 130046428 135598216 170712412 191272666 260092856 341424824 382545332 422650891 765090664 845301782 1007859817 1690603564 2015719634 3381207128 4031439268 8062878536 13102177621 26204355242 52408710484 104817420968