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7438568148564 = 2237231213164023
BaseRepresentation
bin110110000111110110100…
…1101100100111001010100
3222100010020121022021221220
41230033231031210321110
51433333141421223224
623453121523010340
71365263440010100
oct154175515447124
928303217267856
107438568148564
112408751884593
12a017895099b0
1341c5b9497b47
141ba058762900
15cd763047279
hex6c3ed364e54

7438568148564 has 108 divisors (see below), whose sum is σ = 20862713827872. Its totient is φ = 2056746797280.

The previous prime is 7438568148527. The next prime is 7438568148593. The reversal of 7438568148564 is 4658418658347.

It is a super-2 number, since 2×74385681485642 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 6016944 + ... + 7147079.

It is an arithmetic number, because the mean of its divisors is an integer number (193173276184).

Almost surely, 27438568148564 is an apocalyptic number.

It is an amenable number.

7438568148564 is an abundant number, since it is smaller than the sum of its proper divisors (13424145679308).

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

7438568148564 is a wasteful number, since it uses less digits than its factorization.

7438568148564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13164106 (or 13164066 counting only the distinct ones).

The product of its digits is 619315200, while the sum is 69.

The spelling of 7438568148564 in words is "seven trillion, four hundred thirty-eight billion, five hundred sixty-eight million, one hundred forty-eight thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 49 62 84 93 98 124 147 186 196 217 294 372 434 588 651 868 961 1302 1519 1922 2604 2883 3038 3844 4557 5766 6076 6727 9114 11532 13454 18228 20181 26908 40362 47089 80724 94178 141267 188356 282534 565068 13164023 26328046 39492069 52656092 78984138 92148161 157968276 184296322 276444483 368592644 408084713 552888966 645037127 816169426 1105777932 1224254139 1290074254 1632338852 1935111381 2448508278 2580148508 2856592991 3870222762 4897016556 5713185982 7740445524 8569778973 11426371964 12650626103 17139557946 19996150937 25301252206 34279115892 37951878309 39992301874 50602504412 59988452811 75903756618 79984603748 88554382721 119976905622 151807513236 177108765442 239953811244 265663148163 354217530884 531326296326 619880679047 1062652592652 1239761358094 1859642037141 2479522716188 3719284074282 7438568148564