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2137291818543 = 327237988121193
BaseRepresentation
bin11111000110100000100…
…001010000011000101111
321120022201112121212011100
4133012200201100120233
5240004133201143133
64313505221054143
7310262040464430
oct37064041203057
97508645555140
102137291818543
11754469570132
122a627a857353
13126713036a1b
1475634559487
153a8e109ee13
hex1f1a085062f

2137291818543 has 96 divisors (see below), whose sum is σ = 3732639805440. Its totient is φ = 1152058152960.

The previous prime is 2137291818469. The next prime is 2137291818553. The reversal of 2137291818543 is 3458181927312.

2137291818543 is a `hidden beast` number, since 2 + 1 + 3 + 7 + 2 + 91 + 8 + 1 + 8 + 543 = 666.

It is not a de Polignac number, because 2137291818543 - 224 = 2137275041327 is a prime.

It is a super-2 number, since 2×21372918185432 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2137291818543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2137291818553) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 100838355 + ... + 100859547.

It is an arithmetic number, because the mean of its divisors is an integer number (38881664640).

Almost surely, 22137291818543 is an apocalyptic number.

2137291818543 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

2137291818543 is a deficient number, since it is larger than the sum of its proper divisors (1595347986897).

2137291818543 is a wasteful number, since it uses less digits than its factorization.

2137291818543 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22189 (or 22186 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 2137291818543 in words is "two trillion, one hundred thirty-seven billion, two hundred ninety-one million, eight hundred eighteen thousand, five hundred forty-three".

Divisors: 1 3 7 9 21 23 63 69 79 161 207 237 483 553 711 881 1449 1659 1817 2643 4977 5451 6167 7929 12719 16353 18501 20263 21193 38157 55503 60789 63579 69599 114471 141841 148351 182367 190737 208797 425523 445053 487193 487439 626391 1276569 1335159 1461579 1462317 1600777 1674247 3412073 4384737 4386951 4802331 5022741 10236219 11205439 11719729 14406993 15068223 18671033 30708657 33616317 35159187 38507681 56013099 100848951 105477561 115523043 130697231 168039297 269553767 346569129 392091693 429433759 808661301 1176275079 1288301277 1475011607 2425983903 3006036313 3864903831 4425034821 9018108939 10325081249 13275104463 27054326817 30975243747 33925266961 92925731241 101775800883 237476868727 305327402649 712430606181 2137291818543