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45063647524 = 22725922572
BaseRepresentation
bin101001111110000000…
…001011000100100100
311022022120012111001101
4221332000023010210
51214242243210044
632411342205444
73153501453400
oct517600130444
9138276174041
1045063647524
1118125288405
128897883884
1343321673bc
142276cba100
15128b311cd4
hexa7e00b124

45063647524 has 81 divisors (see below), whose sum is σ = 93682441713. Its totient is φ = 18911778816.

The previous prime is 45063647513. The next prime is 45063647527. The reversal of 45063647524 is 42574636054.

The square root of 45063647524 is 212282.

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., 44364996900 + 698650624 = 210630^2 + 26432^2 .

It is a super-2 number, since 2×450636475242 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45063647527) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 175344804 + ... + 175345060.

Almost surely, 245063647524 is an apocalyptic number.

45063647524 is the 212282-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45063647524

45063647524 is an abundant number, since it is smaller than the sum of its proper divisors (48618794189).

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

45063647524 is an equidigital number, since it uses as much as digits as its factorization.

45063647524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 46.

The spelling of 45063647524 in words is "forty-five billion, sixty-three million, six hundred forty-seven thousand, five hundred twenty-four".

Divisors: 1 2 4 7 14 28 49 59 98 118 196 236 257 413 514 826 1028 1652 1799 2891 3481 3598 5782 6962 7196 11564 12593 13924 15163 24367 25186 30326 48734 50372 60652 66049 97468 106141 132098 170569 212282 264196 341138 424564 462343 682276 742987 894617 924686 1485974 1789234 1849372 2971948 3236401 3578468 3896891 6262319 6472802 7793782 12524638 12945604 15587564 25049276 27278237 43836233 54556474 87672466 109112948 175344932 190947659 229916569 381895318 459833138 763790636 919666276 1609415983 3218831966 6437663932 11265911881 22531823762 45063647524