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43969896100 = 225213216132
BaseRepresentation
bin101000111100110011…
…110101111010100100
311012111100010011011101
4220330303311322210
51210022243133400
632111031245444
73114420643624
oct507463657244
9135440104141
1043969896100
1117713950809
128631519884
1341b9693900
1421b1926884
1512252b256a
hexa3ccf5ea4

43969896100 has 81 divisors (see below), whose sum is σ = 103382942313. Its totient is φ = 16224973440.

The previous prime is 43969896073. The next prime is 43969896101. The reversal of 43969896100 is 169896934.

The square root of 43969896100 is 209690.

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

It can be written as a sum of positive squares in 13 ways, for example, as 37949377636 + 6020518464 = 194806^2 + 77592^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (43969896101) 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, 27258894 + ... + 27260506.

Almost surely, 243969896100 is an apocalyptic number.

43969896100 is the 209690-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43969896100

43969896100 is an abundant number, since it is smaller than the sum of its proper divisors (59413046213).

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

43969896100 is a wasteful number, since it uses less digits than its factorization.

43969896100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3266 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 55.

The spelling of 43969896100 in words is "forty-three billion, nine hundred sixty-nine million, eight hundred ninety-six thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 169 260 325 338 650 676 845 1300 1613 1690 3226 3380 4225 6452 8065 8450 16130 16900 20969 32260 40325 41938 80650 83876 104845 161300 209690 272597 419380 524225 545194 1048450 1090388 1362985 2096900 2601769 2725970 5203538 5451940 6814925 10407076 13008845 13629850 26017690 27259700 33822997 52035380 65044225 67645994 130088450 135291988 169114985 260176900 338229970 439698961 676459940 845574925 879397922 1691149850 1758795844 2198494805 3382299700 4396989610 8793979220 10992474025 21984948050 43969896100