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3042166175118 = 2327219764727061
BaseRepresentation
bin101100010001001111001…
…110111111010110001110
3101202211100210100220120200
4230101033032333112032
5344320324020100433
610245315110554330
7432534466555200
oct54211716772616
911684323326520
103042166175118
11a731a2551194
124117133689a6
13190b4b5ccb95
14a7355058770
15542014b5613
hex2c44f3bf58e

3042166175118 has 144 divisors (see below), whose sum is σ = 7718618011104. Its totient is φ = 863409697920.

The previous prime is 3042166175023. The next prime is 3042166175197. The reversal of 3042166175118 is 8115716612403.

3042166175118 is a `hidden beast` number, since 3 + 0 + 4 + 2 + 16 + 617 + 5 + 1 + 18 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 112405308 + ... + 112432368.

It is an arithmetic number, because the mean of its divisors is an integer number (53601513966).

Almost surely, 23042166175118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3042166175118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3859309005552).

3042166175118 is an abundant number, since it is smaller than the sum of its proper divisors (4676451835986).

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

3042166175118 is a wasteful number, since it uses less digits than its factorization.

3042166175118 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27927 (or 27917 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 3042166175118 in words is "three trillion, forty-two billion, one hundred sixty-six million, one hundred seventy-five thousand, one hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 197 294 394 441 591 647 882 1182 1294 1379 1773 1941 2758 3546 3882 4137 4529 5823 8274 9058 9653 11646 12411 13587 19306 24822 27061 27174 28959 31703 40761 54122 57918 63406 81183 81522 86877 95109 127459 162366 173754 189427 190218 243549 254918 285327 378854 382377 487098 568281 570654 764754 892213 1136562 1147131 1325989 1704843 1784426 2294262 2651978 2676639 3409686 3977967 5331017 5353278 6245491 7955934 8029917 10662034 11933901 12490982 15993051 16059834 17508467 18736473 23867802 31986102 35016934 37317119 37472946 47979153 52525401 56209419 74634238 95958306 105050802 111951357 112418838 122559269 157576203 223902714 245118538 261219833 315152406 335854071 367677807 522439666 671708142 735355614 783659499 857914883 1103033421 1567318998 1715829766 2206066842 2350978497 2573744649 3449167999 4701956994 5147489298 6898335998 7721233947 10347503997 15442467894 20695007994 24144175993 31042511991 48288351986 62085023982 72432527979 144865055958 169009231951 217297583937 338018463902 434595167874 507027695853 1014055391706 1521083087559 3042166175118