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44255536900 = 225210921932
BaseRepresentation
bin101001001101110101…
…011110011100000100
311020020020121012200021
4221031311132130010
51211113404140100
632155233424524
73124456566631
oct511565363404
9136206535607
1044255536900
1117850107993
1286b110b144
134233904933
1421db83d188
1512403d6a1a
hexa4dd5e704

44255536900 has 81 divisors (see below), whose sum is σ = 97428445821. Its totient is φ = 17448929280.

The previous prime is 44255536889. The next prime is 44255536901. The reversal of 44255536900 is 963555244.

The square root of 44255536900 is 210370.

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

44255536900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 31157192196 + 13098344704 = 176514^2 + 114448^2 .

It is a super-2 number, since 2×442555369002 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (44255536901) 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, 229303204 + ... + 229303396.

Almost surely, 244255536900 is an apocalyptic number.

44255536900 is the 210370-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44255536900

44255536900 is an abundant number, since it is smaller than the sum of its proper divisors (53172908921).

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

44255536900 is a wasteful number, since it uses less digits than its factorization.

44255536900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 43.

The spelling of 44255536900 in words is "forty-four billion, two hundred fifty-five million, five hundred thirty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 109 193 218 386 436 545 772 965 1090 1930 2180 2725 3860 4825 5450 9650 10900 11881 19300 21037 23762 37249 42074 47524 59405 74498 84148 105185 118810 148996 186245 210370 237620 297025 372490 420740 525925 594050 744980 931225 1051850 1188100 1862450 2103700 2293033 3724900 4060141 4586066 8120282 9172132 11465165 16240564 20300705 22930330 40601410 45860660 57325825 81202820 101503525 114651650 203007050 229303300 406014100 442555369 885110738 1770221476 2212776845 4425553690 8851107380 11063884225 22127768450 44255536900