Search a number
-
+
45641514111360 = 2735139916991867
BaseRepresentation
bin10100110000010101111100…
…01111000101000110000000
312222121021201121000120000220
422120022332033011012000
521440242310103030420
6241023231102343040
712420330160554426
oct1230127617050600
9188537647016026
1045641514111360
11135a7503931472
12515176a88aa80
131c60c8cc61a5b
14b3b0bd80b116
15542391b78840
hex2982be3c5180

45641514111360 has 128 divisors (see below), whose sum is σ = 145586325024000. Its totient is φ = 12162369878016.

The previous prime is 45641514111353. The next prime is 45641514111397. The reversal of 45641514111360 is 6311141514654.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5809854 + ... + 11182013.

It is an arithmetic number, because the mean of its divisors is an integer number (1137393164250).

Almost surely, 245641514111360 is an apocalyptic number.

45641514111360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45641514111360 is an abundant number, since it is smaller than the sum of its proper divisors (99944810912640).

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

45641514111360 is a wasteful number, since it uses less digits than its factorization.

45641514111360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16993288 (or 16993276 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 45641514111360 in words is "forty-five trillion, six hundred forty-one billion, five hundred fourteen million, one hundred eleven thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1399 1920 2798 4197 5596 6995 8394 11192 13990 16788 20985 22384 27980 33576 41970 44768 55960 67152 83940 89536 111920 134304 167880 179072 223840 268608 335760 447680 537216 671520 895360 1343040 2686080 16991867 33983734 50975601 67967468 84959335 101951202 135934936 169918670 203902404 254878005 271869872 339837340 407804808 509756010 543739744 679674680 815609616 1019512020 1087479488 1359349360 1631219232 2039024040 2174958976 2718698720 3262438464 4078048080 5437397440 6524876928 8156096160 10874794880 16312192320 23771621933 32624384640 47543243866 71314865799 95086487732 118858109665 142629731598 190172975464 237716219330 285259463196 356574328995 380345950928 475432438660 570518926392 713148657990 760691901856 950864877320 1141037852784 1426297315980 1521383803712 1901729754640 2282075705568 2852594631960 3042767607424 3803459509280 4564151411136 5705189263920 7606919018560 9128302822272 11410378527840 15213838037120 22820757055680 45641514111360