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452414251411540 = 2251123287033115003
BaseRepresentation
bin110011011011101111110011…
…0101111110010100001010100
32012022212101021001101022121121
41212313133212233302201110
5433244323341330132130
64242112123214453324
7164202564620642365
oct14667374657624124
92168771231338547
10452414251411540
11121175896563330
12428a8ab5504244
131655963356a302
147da0d76503b6c
1537484ed8a9d7a
hex19b77e6bf2854

452414251411540 has 96 divisors (see below), whose sum is σ = 1081540552974336. Its totient is φ = 157355945831040.

The previous prime is 452414251411357. The next prime is 452414251411541. The reversal of 452414251411540 is 45114152414254.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452414251411541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143679679 + ... + 146794681.

It is an arithmetic number, because the mean of its divisors is an integer number (11266047426816).

Almost surely, 2452414251411540 is an apocalyptic number.

It is an amenable number.

452414251411540 is an abundant number, since it is smaller than the sum of its proper divisors (629126301562796).

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

452414251411540 is a wasteful number, since it uses less digits than its factorization.

452414251411540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3143749 (or 3143747 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 43.

The spelling of 452414251411540 in words is "four hundred fifty-two trillion, four hundred fourteen billion, two hundred fifty-one million, four hundred eleven thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 1012 1265 2530 5060 28703 57406 114812 143515 287030 315733 574060 631466 660169 1262932 1320338 1578665 2640676 3115003 3157330 3300845 6230006 6314660 6601690 7261859 12460012 13203380 14523718 15575015 29047436 31150030 34265033 36309295 62300060 68530066 71645069 72618590 137060132 143290138 145237180 171325165 286580276 342650330 358225345 685300660 716450690 788095759 1432901380 1576191518 3152383036 3940478795 7880957590 15761915180 89409931109 178819862218 357639724436 447049655545 894099311090 983509242199 1788198622180 1967018484398 2056428415507 3934036968796 4112856831014 4917546210995 8225713662028 9835092421990 10282142077535 19670184843980 20564284155070 22620712570577 41128568310140 45241425141154 90482850282308 113103562852885 226207125705770 452414251411540