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45355455354 = 231121715124337
BaseRepresentation
bin101010001111011001…
…010101001101111010
311100001220021212010210
4222033121111031322
51220341444032404
632500324451550
73163644003156
oct521731251572
9140056255123
1045355455354
1118264a76a00
128959549bb6
13437a757461
1422a395a066
1512a6c53689
hexa8f65537a

45355455354 has 96 divisors (see below), whose sum is σ = 106275673728. Its totient is φ = 12849408000.

The previous prime is 45355455331. The next prime is 45355455359.

45355455354 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (45355455359) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1851474 + ... + 1875810.

It is an arithmetic number, because the mean of its divisors is an integer number (1107038268).

Almost surely, 245355455354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45355455354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53137836864).

45355455354 is an abundant number, since it is smaller than the sum of its proper divisors (60920218374).

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

45355455354 is a wasteful number, since it uses less digits than its factorization.

45355455354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24532 (or 24521 counting only the distinct ones).

The product of its digits is 9000000, while the sum is 48.

The spelling of 45355455354 in words is "forty-five billion, three hundred fifty-five million, four hundred fifty-five thousand, three hundred fifty-four".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 121 151 187 242 302 363 374 453 561 726 906 1122 1661 2057 2567 3322 4114 4983 5134 6171 7701 9966 12342 15402 18271 24337 28237 36542 48674 54813 56474 73011 84711 109626 146022 169422 267707 310607 413729 535414 621214 803121 827458 931821 1241187 1606242 1863642 2482374 2944777 3674887 4551019 5889554 7349774 8834331 9102038 11024661 13653057 17668662 22049322 27306114 40423757 50061209 62473079 80847514 100122418 121271271 124946158 150183627 187419237 242542542 300367254 374838474 444661327 687203869 889322654 1333983981 1374407738 2061611607 2667967962 4123223214 7559242559 15118485118 22677727677 45355455354