Search a number
-
+
6074241547044 = 2231124798390547
BaseRepresentation
bin101100001100100010100…
…0000100111101100100100
3210111200200100002220110210
41120121011000213230210
51244010021314001134
620530245033015420
71164564240152166
oct130310500475444
923450610086423
106074241547044
111a32086aa8600
1282128b254570
13350a4c46bba8
1416ddcdc74936
15a8011b332e9
hex58645027b24

6074241547044 has 144 divisors (see below), whose sum is σ = 15926665918464. Its totient is φ = 1799663321280.

The previous prime is 6074241547037. The next prime is 6074241547063. The reversal of 6074241547044 is 4407451424706.

It is a super-3 number, since 3×60742415470443 (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6074241546984 and 6074241547002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67038579 + ... + 67129125.

It is an arithmetic number, because the mean of its divisors is an integer number (110601846656).

Almost surely, 26074241547044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6074241547044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7963332959232).

6074241547044 is an abundant number, since it is smaller than the sum of its proper divisors (9852424371420).

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

6074241547044 is a wasteful number, since it uses less digits than its factorization.

6074241547044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91606 (or 91593 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 48.

The spelling of 6074241547044 in words is "six trillion, seventy-four billion, two hundred forty-one million, five hundred forty-seven thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 47 66 94 121 132 141 188 242 282 363 484 517 564 726 983 1034 1452 1551 1966 2068 2949 3102 3932 5687 5898 6204 10813 11374 11796 17061 21626 22748 32439 34122 43252 46201 64878 68244 90547 92402 118943 129756 138603 181094 184804 237886 271641 277206 356829 362188 475772 508211 543282 554412 713658 996017 1016422 1086564 1427316 1524633 1992034 2032844 2988051 3049266 3984068 4255709 5590321 5976102 6098532 8511418 10956187 11180642 11952204 12767127 16770963 17022836 21912374 22361284 25534254 32868561 33541926 43824748 46812799 51068508 65737122 67083852 89007701 93625598 131474244 140438397 178015402 187251196 267023103 280876794 356030804 514940789 534046206 561753588 979084711 1029881578 1068092412 1544822367 1958169422 2059763156 2937254133 3089644734 3916338844 4183361947 5874508266 6179289468 8366723894 10769931821 11749016532 12550085841 16733447788 21539863642 25100171682 32309795463 43079727284 46016981417 50200343364 64619590926 92033962834 129239181852 138050944251 184067925668 276101888502 506186795587 552203777004 1012373591174 1518560386761 2024747182348 3037120773522 6074241547044