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45002413514454 = 231147263271203549
BaseRepresentation
bin10100011101101111100001…
…10111110001111011010110
312220100012002120111101010220
422032313300313301323112
521344304420324430304
6235413453502455210
712323213521250154
oct1216676067617326
9186305076441126
1045002413514454
1113380464244780
125069929294506
131c1592b699a96
14b181b25dc3d4
15530939283ad9
hex28edf0df1ed6

45002413514454 has 128 divisors (see below), whose sum is σ = 101029375180800. Its totient is φ = 13247066678400.

The previous prime is 45002413514453. The next prime is 45002413514477. The reversal of 45002413514454 is 45441531420054.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45002413514453) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 220987072 + ... + 221190620.

It is an arithmetic number, because the mean of its divisors is an integer number (789291993600).

Almost surely, 245002413514454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45002413514454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50514687590400).

45002413514454 is an abundant number, since it is smaller than the sum of its proper divisors (56026961666346).

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

45002413514454 is a wasteful number, since it uses less digits than its factorization.

45002413514454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204146.

The product of its (nonzero) digits is 768000, while the sum is 42.

The spelling of 45002413514454 in words is "forty-five trillion, two billion, four hundred thirteen million, five hundred fourteen thousand, four hundred fifty-four".

Divisors: 1 2 3 6 11 22 33 47 66 94 141 263 271 282 517 526 542 789 813 1034 1551 1578 1626 2893 2981 3102 5786 5962 8679 8943 12361 12737 17358 17886 24722 25474 37083 38211 71273 74166 76422 135971 140107 142546 203549 213819 271942 280214 407098 407913 420321 427638 610647 784003 815826 840642 1221294 1568006 2239039 2352009 3349831 4478078 4704018 6699662 6717117 9566803 10049493 13434234 19133606 20098986 28700409 36848141 53533387 55161779 57400818 73696282 105234833 107066774 110323558 110544423 160600161 165485337 210469666 221088846 315704499 321200322 330970674 588867257 606779569 631408998 1177734514 1213559138 1766601771 1820338707 2516069189 2592603613 3533203542 3640677414 5032138378 5185207226 7548207567 7777810839 14507547877 15096415134 15555621678 27676761079 28518639743 29015095754 43522643631 55353522158 57037279486 83030283237 85555919229 87045287262 159583026647 166060566474 171111838458 319166053294 478749079941 681854750219 957498159882 1363709500438 2045564250657 4091128501314 7500402252409 15000804504818 22501206757227 45002413514454