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45665344356654 = 231117198699246247
BaseRepresentation
bin10100110001000010010101…
…01000010000000100101110
312222200120020100211110001110
422120201022220100010232
521441140111123403104
6241042211455252450
712422132542400301
oct1230411250200456
9188616210743043
1045665344356654
111360662243a470
1251562bb51a126
131c632ba033609
14b3c300698b38
15542cd8cd6e89
hex29884aa1012e

45665344356654 has 128 divisors (see below), whose sum is σ = 111059817984000. Its totient is φ = 12337042798080.

The previous prime is 45665344356601. The next prime is 45665344356719.

It is a happy number.

45665344356654 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

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, 185322159 + ... + 185568405.

It is an arithmetic number, because the mean of its divisors is an integer number (867654828000).

Almost surely, 245665344356654 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45665344356654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55529908992000).

45665344356654 is an abundant number, since it is smaller than the sum of its proper divisors (65394473627346).

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

45665344356654 is a wasteful number, since it uses less digits than its factorization.

45665344356654 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254998.

The product of its digits is 1866240000, while the sum is 66.

The spelling of 45665344356654 in words is "forty-five trillion, six hundred sixty-five billion, three hundred forty-four million, three hundred fifty-six thousand, six hundred fifty-four".

Divisors: 1 2 3 6 11 17 19 22 33 34 38 51 57 66 102 114 187 209 323 374 418 561 627 646 969 1122 1254 1938 3553 7106 8699 10659 17398 21318 26097 52194 95689 147883 165281 191378 246247 287067 295766 330562 443649 492494 495843 574134 738741 887298 991686 1477482 1626713 1818091 2708717 2809777 3253426 3636182 4186199 4678693 4880139 5417434 5454273 5619554 8126151 8372398 8429331 9357386 9760278 10908546 12558597 14036079 16252302 16858662 25117194 28072158 30907547 46048189 51465623 61815094 79537781 92096378 92722641 102931246 138144567 154396869 159075562 185445282 238613343 276289134 308793738 477226686 874915591 1749831182 2142102653 2624746773 4284205306 5249493546 6426307959 12852615918 23563129183 36415745101 40699950407 47126258366 70689387549 72831490202 81399900814 109247235303 122099851221 141378775098 218494470606 244199702442 400573196111 447699454477 691899156919 801146392222 895398908954 1201719588333 1343098363431 1383798313838 2075697470757 2403439176666 2686196726862 4151394941514 7610890726109 15221781452218 22832672178327 45665344356654