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161397586380384 = 253214592311166207
BaseRepresentation
bin100100101100101001001101…
…110011011100011001100000
3210011110110101022001021001200
4210230221031303130121200
5132123314224103133014
61331133005543401200
745665406435411114
oct4454511563343140
9704413338037050
10161397586380384
1147476371981412
1216127b25153200
136c0995b5543c3
142bbd98338b744
15139d4c566aa09
hex92ca4dcdc660

161397586380384 has 144 divisors (see below), whose sum is σ = 459490472663040. Its totient is φ = 53738734452480.

The previous prime is 161397586380383. The next prime is 161397586380389. The reversal of 161397586380384 is 483083685793161.

It is a happy number.

161397586380384 is a `hidden beast` number, since 1 + 6 + 1 + 3 + 9 + 7 + 586 + 3 + 8 + 0 + 38 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161397586380383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 970980609 + ... + 971146815.

It is an arithmetic number, because the mean of its divisors is an integer number (3190906060160).

Almost surely, 2161397586380384 is an apocalyptic number.

It is an amenable number.

161397586380384 is an abundant number, since it is smaller than the sum of its proper divisors (298092886282656).

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

161397586380384 is a wasteful number, since it uses less digits than its factorization.

161397586380384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169993 (or 169982 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 161397586380384 in words is "one hundred sixty-one trillion, three hundred ninety-seven billion, five hundred eighty-six million, three hundred eighty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1459 2311 2918 4377 4622 5836 6933 8754 9244 11672 13131 13866 17508 18488 20799 23344 26262 27732 35016 36976 41598 46688 52524 55464 70032 73952 83196 105048 110928 140064 166207 166392 210096 221856 332414 332784 420192 498621 664828 665568 997242 1329656 1495863 1994484 2659312 2991726 3371749 3988968 5318624 5983452 6743498 7977936 10115247 11966904 13486996 15955872 20230494 23933808 26973992 30345741 40460988 47867616 53947984 60691482 80921976 107895968 121382964 161843952 242496013 242765928 323687904 384104377 484992026 485531856 727488039 768208754 969984052 971063712 1152313131 1454976078 1536417508 1939968104 2182464117 2304626262 2909952156 3072835016 3456939393 3879936208 4364928234 4609252524 5819904312 6145670032 6913878786 7759872416 8729856468 9218505048 11639808624 12291340064 13827757572 17459712936 18437010096 23279617248 27655515144 34919425872 36874020192 55311030288 69838851744 110622060576 560408286043 1120816572086 1681224858129 2241633144172 3362449716258 4483266288344 5043674574387 6724899432516 8966532576688 10087349148774 13449798865032 17933065153376 20174698297548 26899597730064 40349396595096 53799195460128 80698793190192 161397586380384