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45613744731654 = 231183193389110909
BaseRepresentation
bin10100101111100010001110…
…00011010011011000000110
312222111122001022000220110020
422113301013003103120012
521434313422122403104
6241002355352240010
712415325054665641
oct1227610703233006
9188448038026406
1045613744731654
1113596753831490
1251482ba9a0006
131c5b485a5c728
14b39a07730a58
155417b8cb92d9
hex297c470d3606

45613744731654 has 128 divisors (see below), whose sum is σ = 101502986457600. Its totient is φ = 13550011883520.

The previous prime is 45613744731649. The next prime is 45613744731673.

45613744731654 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×456137447316542 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 411216352 + ... + 411327260.

It is an arithmetic number, because the mean of its divisors is an integer number (792992081700).

Almost surely, 245613744731654 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45613744731654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50751493228800).

45613744731654 is an abundant number, since it is smaller than the sum of its proper divisors (55889241725946).

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

45613744731654 is a wasteful number, since it uses less digits than its factorization.

45613744731654 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111590.

The product of its digits is 101606400, while the sum is 60.

The spelling of 45613744731654 in words is "forty-five trillion, six hundred thirteen billion, seven hundred forty-four million, seven hundred thirty-one thousand, six hundred fifty-four".

Divisors: 1 2 3 6 11 22 33 66 83 166 193 249 386 389 498 579 778 913 1158 1167 1826 2123 2334 2739 4246 4279 5478 6369 8558 12738 12837 16019 25674 32038 32287 48057 64574 75077 96114 96861 110909 150154 176209 193722 221818 225231 332727 352418 355157 450462 528627 665454 710314 825847 1057254 1065471 1219999 1651694 2130942 2439998 2477541 3659997 4955082 6231391 7319994 9205447 12462782 18410894 18694173 21405437 27616341 37388346 42810874 43143601 55232682 64216311 68545301 86287202 101259917 128432622 129430803 137090602 202519834 205635903 235459807 258861606 303779751 411271806 470919614 474579611 607559502 706379421 949159222 1412758842 1423738833 1776651271 2847477666 3553302542 3580918883 5329953813 7161837766 8326714993 10659907626 10742756649 16653429986 19543163981 21485513298 24980144979 39086327962 39390107713 49960289958 58629491943 78780215426 91593864923 117258983886 118170323139 183187729846 236340646278 274781594769 549563189538 691117344419 1382234688838 2073352033257 4146704066514 7602290788609 15204581577218 22806872365827 45613744731654