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45866218896 = 24386612
BaseRepresentation
bin101010101101110101…
…101111010110010000
311101101111101100000000
4222231311233112100
51222413223001041
633023132130000
73212415266541
oct525565572620
9141344340000
1045866218896
11184a7315133
128a80606900
13442c50a7c4
1423117144c8
1512d69e5bb6
hexaadd6f590

45866218896 has 135 divisors (see below), whose sum is σ = 133493883393. Its totient is φ = 15265609920.

The previous prime is 45866218889. The next prime is 45866218933. The reversal of 45866218896 is 69881266854.

The square root of 45866218896 is 214164.

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., 36418378896 + 9447840000 = 190836^2 + 97200^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 69388806 + ... + 69389466.

Almost surely, 245866218896 is an apocalyptic number.

45866218896 is the 214164-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45866218896

45866218896 is an abundant number, since it is smaller than the sum of its proper divisors (87627664497).

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

45866218896 is an frugal number, since it uses more digits than its factorization.

45866218896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 666 counting only the distinct ones).

The product of its digits is 39813120, while the sum is 63.

The spelling of 45866218896 in words is "forty-five billion, eight hundred sixty-six million, two hundred eighteen thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 661 729 972 1296 1322 1458 1944 1983 2187 2644 2916 3888 3966 4374 5288 5832 5949 6561 7932 8748 10576 11664 11898 13122 15864 17496 17847 23796 26244 31728 34992 35694 47592 52488 53541 71388 95184 104976 107082 142776 160623 214164 285552 321246 428328 436921 481869 642492 856656 873842 963738 1284984 1310763 1445607 1747684 1927476 2569968 2621526 2891214 3495368 3854952 3932289 4336821 5243052 5782428 6990736 7709904 7864578 8673642 10486104 11564856 11796867 15729156 17347284 20972208 23129712 23593734 31458312 34694568 35390601 47187468 62916624 69389136 70781202 94374936 106171803 141562404 188749872 212343606 283124808 318515409 424687212 566249616 637030818 849374424 955546227 1274061636 1698748848 1911092454 2548123272 2866638681 3822184908 5096246544 5733277362 7644369816 11466554724 15288739632 22933109448 45866218896