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20678383278 = 23272199471303
BaseRepresentation
bin10011010000100001…
…110001011010101110
31222101010000201011100
4103100201301122232
5314322131231103
613255521303530
71331300233500
oct232041613256
958333021140
1020678383278
118851454463
124011194ba6
131c470b8a67
141002433d70
158105bd5a3
hex4d08716ae

20678383278 has 144 divisors (see below), whose sum is σ = 54961096320. Its totient is φ = 5586954912.

The previous prime is 20678383277. The next prime is 20678383321. The reversal of 20678383278 is 87238387602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20678383277) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15869175 + ... + 15870477.

It is an arithmetic number, because the mean of its divisors is an integer number (381674280).

Almost surely, 220678383278 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20678383278, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27480548160).

20678383278 is an abundant number, since it is smaller than the sum of its proper divisors (34282713042).

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

20678383278 is a wasteful number, since it uses less digits than its factorization.

20678383278 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2291 (or 2281 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 20678383278 in words is "twenty billion, six hundred seventy-eight million, three hundred eighty-three thousand, two hundred seventy-eight".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 49 57 63 98 114 126 133 147 171 266 294 342 399 441 798 882 931 947 1197 1303 1862 1894 2394 2606 2793 2841 3909 5586 5682 6629 7818 8379 8523 9121 11727 13258 16758 17046 17993 18242 19887 23454 24757 27363 35986 39774 46403 49514 53979 54726 59661 63847 74271 82089 92806 107958 119322 125951 127694 139209 148542 161937 164178 173299 191541 222813 251902 278418 323874 346598 377853 383082 417627 445626 519897 574623 755706 835254 881657 1039794 1133559 1149246 1213093 1233941 1559691 1763314 2267118 2426186 2467882 2644971 3119382 3639279 3701823 5289942 7278558 7403646 7934913 8637587 10917837 11105469 15869826 17275174 21835674 22210938 23444879 25912761 46889758 51825522 60463109 70334637 77738283 120926218 140669274 155476566 164114153 181389327 211003911 328228306 362778654 422007822 492342459 544167981 984684918 1088335962 1148799071 1477027377 2297598142 2954054754 3446397213 6892794426 10339191639 20678383278