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18504978159968 = 253783307613367
BaseRepresentation
bin1000011010100100001101…
…01001100101100101100000
32102112001120202010002121022
410031102012221211211200
54411141143402104333
6103205023011345012
73616640416036136
oct415220651454540
972461522102538
1018504978159968
115994a0a824a43
1220aa47b8b2168
13a43020350221
1447d907c09756
15221554a7bc98
hex10d486a65960

18504978159968 has 96 divisors (see below), whose sum is σ = 37990522209024. Its totient is φ = 8864973891072.

The previous prime is 18504978159961. The next prime is 18504978159991. The reversal of 18504978159968 is 86995187940581.

It is a super-2 number, since 2×185049781599682 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 18504978159892 and 18504978159901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18504978159961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29862821 + ... + 30476187.

It is an arithmetic number, because the mean of its divisors is an integer number (395734606344).

Almost surely, 218504978159968 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 18504978159968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18995261104512).

18504978159968 is an abundant number, since it is smaller than the sum of its proper divisors (19485544049056).

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

18504978159968 is a wasteful number, since it uses less digits than its factorization.

18504978159968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613804 (or 613796 counting only the distinct ones).

The product of its (nonzero) digits is 1567641600, while the sum is 80.

The spelling of 18504978159968 in words is "eighteen trillion, five hundred four billion, nine hundred seventy-eight million, one hundred fifty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 37 74 83 148 166 296 307 332 592 614 664 1184 1228 1328 2456 2656 3071 4912 6142 9824 11359 12284 22718 24568 25481 45436 49136 50962 90872 98272 101924 181744 203848 363488 407696 613367 815392 942797 1226734 1885594 2453468 3771188 4906936 7542376 9813872 15084752 19627744 22694579 30169504 45389158 50909461 90778316 101818922 181556632 188303669 203637844 363113264 376607338 407275688 726226528 753214676 814551376 1506429352 1629102752 1883650057 3012858704 3767300114 6025717408 6967235753 7534600228 13934471506 15069200456 15629204527 27868943012 30138400912 31258409054 55737886024 60276801824 62516818108 111475772048 125033636216 222951544096 250067272432 500134544864 578280567499 1156561134998 2313122269996 4626244539992 9252489079984 18504978159968