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44890436900 = 225229149103889
BaseRepresentation
bin101001110011101011…
…011011010100100100
311021212111021110202002
4221303223123110210
51213413422440100
632342233504432
73146266263221
oct516353332444
9137774243662
1044890436900
1118046532731
128849872118
1343052cc8ca
14225bcac948
15127aeea2d5
hexa73adb524

44890436900 has 72 divisors (see below), whose sum is σ = 101448585000. Its totient is φ = 17220474880.

The previous prime is 44890436897. The next prime is 44890436923. The reversal of 44890436900 is 963409844.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 16307800804 + 28582636096 = 127702^2 + 169064^2 .

It is a super-2 number, since 2×448904369002 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 380156 + ... + 484044.

It is an arithmetic number, because the mean of its divisors is an integer number (1409008125).

Almost surely, 244890436900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44890436900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50724292500).

44890436900 is an abundant number, since it is smaller than the sum of its proper divisors (56558148100).

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

44890436900 is a wasteful number, since it uses less digits than its factorization.

44890436900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104081 (or 104074 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 47.

The spelling of 44890436900 in words is "forty-four billion, eight hundred ninety million, four hundred thirty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 149 290 298 580 596 725 745 1450 1490 2900 2980 3725 4321 7450 8642 14900 17284 21605 43210 86420 103889 108025 207778 216050 415556 432100 519445 1038890 2077780 2597225 3012781 5194450 6025562 10388900 12051124 15063905 15479461 30127810 30958922 60255620 61917844 75319525 77397305 150639050 154794610 301278100 309589220 386986525 448904369 773973050 897808738 1547946100 1795617476 2244521845 4489043690 8978087380 11222609225 22445218450 44890436900