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43452763280641 = 11213231214872
BaseRepresentation
bin10011110000101001000101…
…00001010001010100000001
312200212001011210012000210201
421320110202201101110001
521143412224344440031
6232225531320125201
712103233660510301
oct1170244241212401
9180761153160721
1043452763280641
1112933239073900
124a5952a606801
131b32768b17400
14aa31a6c8b601
1550548d0d3d61
hex278522851501

43452763280641 has 81 divisors (see below), whose sum is σ = 53476881711939. Its totient is φ = 35263873101600.

The previous prime is 43452763280551. The next prime is 43452763280651. The reversal of 43452763280641 is 14608236725434.

The square root of 43452763280641 is 6591871.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6427923562225 + 37024839718416 = 2535335^2 + 6084804^2 .

It is not a de Polignac number, because 43452763280641 - 217 = 43452763149569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (43452763280651) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 29221763400 + ... + 29221764886.

Almost surely, 243452763280641 is an apocalyptic number.

43452763280641 is the 6591871-st square number.

43452763280641 is the 3295936-th centered octagonal number.

It is an amenable number.

43452763280641 is a deficient number, since it is larger than the sum of its proper divisors (10024118431298).

43452763280641 is an equidigital number, since it uses as much as digits as its factorization.

43452763280641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3084 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 55.

The spelling of 43452763280641 in words is "forty-three trillion, four hundred fifty-two billion, seven hundred sixty-three million, two hundred eighty thousand, six hundred forty-one".

Divisors: 1 11 13 31 121 143 169 341 403 961 1487 1573 1859 3751 4433 5239 10571 12493 16357 19331 20449 46097 48763 57629 116281 137423 162409 179927 212641 251303 507067 599261 633919 1429007 1511653 1786499 2211169 2339051 2764333 5577737 6591871 7790393 15719077 18577091 19651489 24322859 28745197 30407663 68546239 72510581 85694323 172909847 204348001 241502183 267551449 316197167 373687561 754008629 891101107 942637553 2124933409 2247828011 2656524013 3478168837 4110563171 8294094919 9802112177 11584314391 23374267499 27624134317 29221764143 45216194881 107823233947 127427458301 257116942489 303865477487 359113746121 1401702041311 3342520252357 3950251207331 43452763280641