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342975548097 = 327132175932117
BaseRepresentation
bin1001111110110101110…
…11111000101011000001
31012210021120000001212200
410333122323320223001
521104403220014342
6421321044143413
733531153025440
oct4773273705301
91183246001780
10342975548097
111225008346a6
1256579997b69
132645b4b3b00
141285898cd57
158dc550994c
hex4fdaef8ac1

342975548097 has 144 divisors (see below), whose sum is σ = 660171358080. Its totient is φ = 167377287168.

The previous prime is 342975548057. The next prime is 342975548159. The reversal of 342975548097 is 790845579243.

342975548097 is a `hidden beast` number, since 3 + 429 + 75 + 54 + 8 + 0 + 97 = 666.

It is not a de Polignac number, because 342975548097 - 27 = 342975547969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (342975548057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10662883 + ... + 10694999.

It is an arithmetic number, because the mean of its divisors is an integer number (4584523320).

Almost surely, 2342975548097 is an apocalyptic number.

It is an amenable number.

342975548097 is a deficient number, since it is larger than the sum of its proper divisors (317195809983).

342975548097 is a wasteful number, since it uses less digits than its factorization.

342975548097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32232 (or 32216 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 342975548097 in words is "three hundred forty-two billion, nine hundred seventy-five million, five hundred forty-eight thousand, ninety-seven".

Divisors: 1 3 7 9 13 17 21 39 51 59 63 91 117 119 153 169 177 221 273 357 413 507 531 663 767 819 1003 1071 1183 1239 1521 1547 1989 2301 2873 3009 3549 3717 4641 5369 6903 7021 8619 9027 9971 10647 13039 13923 16107 20111 21063 25857 29913 32117 39117 48321 60333 63189 69797 89739 91273 96351 117351 169507 180999 209391 224819 273819 289053 417521 508521 545989 628173 674457 821457 1186549 1252563 1525563 1637967 1894903 2023371 2922647 3559647 3757689 3821923 4913901 5427773 5684709 7097857 8767941 10678941 11465769 13264321 16283319 17054127 21293571 24633739 26303823 32213351 34397307 37994411 39792963 48849957 49684999 63880713 73901217 92272141 96640053 113983233 119378889 149054997 172436173 221703651 225493457 276816423 289920159 320238607 341949699 418773563 447164991 517308519 645904987 676480371 830449269 960715821 1256320689 1551925557 1937714961 2029441113 2241670249 2882147463 2931414941 3768962067 5444056319 5813144883 6725010747 8794244823 16332168957 20175032241 26382734469 38108394233 48996506871 114325182699 342975548097