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214572419901 = 34717191116549
BaseRepresentation
bin1100011111010110000…
…0110100101100111101
3202111211220212022120000
43013311200310230331
512003421014414101
6242323451344513
721334206322140
oct3076540645475
9674756768500
10214572419901
1182aaa59aa34
1235703a52139
13173073bb248
14a557602057
1558ac978486
hex31f5834b3d

214572419901 has 80 divisors (see below), whose sum is σ = 389907302400. Its totient is φ = 114795118080.

The previous prime is 214572419879. The next prime is 214572419909. The reversal of 214572419901 is 109914275412.

214572419901 is a `hidden beast` number, since 2 + 1 + 457 + 2 + 4 + 199 + 0 + 1 = 666.

It is not a de Polignac number, because 214572419901 - 214 = 214572403517 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214572419909) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1782775 + ... + 1899323.

It is an arithmetic number, because the mean of its divisors is an integer number (4873841280).

Almost surely, 2214572419901 is an apocalyptic number.

214572419901 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

214572419901 is a deficient number, since it is larger than the sum of its proper divisors (175334882499).

214572419901 is a wasteful number, since it uses less digits than its factorization.

214572419901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116776 (or 116767 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 214572419901 in words is "two hundred fourteen billion, five hundred seventy-two million, four hundred nineteen thousand, nine hundred one".

Divisors: 1 3 7 9 17 21 27 51 63 81 119 153 189 191 357 459 567 573 1071 1337 1377 1719 3213 3247 4011 5157 9639 9741 12033 15471 22729 29223 36099 68187 87669 108297 116549 204561 263007 349647 613683 815843 1048941 1841049 1981333 2447529 3146823 5943999 7342587 9440469 13869331 17831997 22027761 22260859 41607993 53495991 66083283 66782577 124823979 155826013 160487973 200347731 374471937 378434603 467478039 601043193 1123415811 1135303809 1402434117 1803129579 2649042221 3405911427 4207302351 7947126663 10217734281 12621907053 23841379989 30653202843 71524139967 214572419901