Search a number
-
+
20134862342658 = 23271960731384909
BaseRepresentation
bin1001001010000000000110…
…10100010100101000000010
32122021212121011202100110200
410211000003110110220002
510114342144224431113
6110453454510110030
74145460442021230
oct445000324245002
978255534670420
1020134862342658
116463168972178
1223123307ab316
13b3092b64a1ab
144d87653d3950
1524db49a0d873
hex125003514a02

20134862342658 has 96 divisors (see below), whose sum is σ = 52490526441600. Its totient is φ = 5449136571648.

The previous prime is 20134862342597. The next prime is 20134862342711. The reversal of 20134862342658 is 85624326843102.

20134862342658 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 4 + 8 + 623 + 4 + 2 + 6 + 5 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13846308 + ... + 15231216.

It is an arithmetic number, because the mean of its divisors is an integer number (546776317100).

Almost surely, 220134862342658 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20134862342658, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26245263220800).

20134862342658 is an abundant number, since it is smaller than the sum of its proper divisors (32355664098942).

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

20134862342658 is a wasteful number, since it uses less digits than its factorization.

20134862342658 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391016 (or 1391013 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 20134862342658 in words is "twenty trillion, one hundred thirty-four billion, eight hundred sixty-two million, three hundred forty-two thousand, six hundred fifty-eight".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 342 399 798 1197 2394 6073 12146 18219 36438 42511 54657 85022 109314 115387 127533 230774 255066 346161 382599 692322 765198 807709 1038483 1384909 1615418 2076966 2423127 2769818 4154727 4846254 7269381 8309454 9694363 12464181 14538762 19388726 24928362 26313271 29083089 52626542 58166178 78939813 87249267 157879626 174498534 184192897 236819439 368385794 473638878 552578691 1105157382 1657736073 3315472146 8410552357 16821104714 25231657071 50463314142 58873866499 75694971213 117747732998 151389942426 159800494783 176621599497 319600989566 353243198994 479401484349 529864798491 958802968698 1059729596982 1118603463481 1438204453047 2237206926962 2876408906094 3355810390443 6711620780886 10067431171329 20134862342658