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542226622245 = 3571133110331373
BaseRepresentation
bin1111110001111110011…
…10011010011100100101
31220211120201001101020120
413320333032122130211
532340440003402440
61053032342152153
754113611146240
oct7707716323445
91824521041216
10542226622245
11199a58879810
1289106722659
133c1935c3399
141c35b3dc257
15e187d44dd0
hex7e3f39a725

542226622245 has 128 divisors (see below), whose sum is σ = 1086745448448. Its totient is φ = 224279193600.

The previous prime is 542226622241. The next prime is 542226622303.

542226622245 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 542226622245 - 22 = 542226622241 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 542226622197 and 542226622206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542226622241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 394920379 + ... + 394921751.

It is an arithmetic number, because the mean of its divisors is an integer number (8490198816).

Almost surely, 2542226622245 is an apocalyptic number.

542226622245 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

542226622245 is an abundant number, since it is smaller than the sum of its proper divisors (544518826203).

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

542226622245 is a wasteful number, since it uses less digits than its factorization.

542226622245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2763.

The product of its digits is 921600, while the sum is 42.

The spelling of 542226622245 in words is "five hundred forty-two billion, two hundred twenty-six million, six hundred twenty-two thousand, two hundred forty-five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 165 231 331 385 993 1033 1155 1373 1655 2317 3099 3641 4119 4965 5165 6865 6951 7231 9611 10923 11363 11585 15103 15495 18205 20595 21693 25487 28833 34089 34755 36155 45309 48055 54615 56815 75515 76461 79541 105721 108465 127435 144165 170445 226545 238623 317163 341923 382305 397705 454463 528605 1025769 1193115 1363389 1418309 1585815 1709615 2272315 2393461 3181241 3761153 4254927 4999093 5128845 6816945 7091545 7180383 9543723 9928163 11283459 11967305 14997279 15601399 15906205 18805765 21274635 24995465 26328071 29784489 34993651 35901915 46804197 47718615 49640815 56417295 74986395 78006995 78984213 104980953 109209793 131640355 148922445 174968255 234020985 327629379 394921065 469460279 524904765 546048965 1408380837 1638146895 2347301395 3286221953 5164063069 7041904185 9858665859 15492189207 16431109765 25820315345 36148441483 49293329295 77460946035 108445324449 180742207415 542226622245