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14866924900 = 22528921372
BaseRepresentation
bin11011101100010001…
…10100010101100100
31102101002202000222011
431312020310111210
5220421413044100
610455121444004
71034262530242
oct156610642544
942332660864
1014866924900
116339a9a7a3
122a6aaa0604
13152c0c49a9
14a106a3792
155c02c9bba
hex376234564

14866924900 has 81 divisors (see below), whose sum is σ = 32867683009. Its totient is φ = 5837032960.

The previous prime is 14866924871. The next prime is 14866924903. The reversal of 14866924900 is 942966841.

The square root of 14866924900 is 121930.

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 12617130276 + 2249794624 = 112326^2 + 47432^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14866924903) 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, 108517632 + ... + 108517768.

Almost surely, 214866924900 is an apocalyptic number.

14866924900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14866924900 is the 121930-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14866924900

14866924900 is an abundant number, since it is smaller than the sum of its proper divisors (18000758109).

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

14866924900 is an equidigital number, since it uses as much as digits as its factorization.

14866924900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 49.

Multiplying 14866924900 by its sum of digits (49), we get a square (728479320100 = 8535102).

The spelling of 14866924900 in words is "fourteen billion, eight hundred sixty-six million, nine hundred twenty-four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 89 100 137 178 274 356 445 548 685 890 1370 1780 2225 2740 3425 4450 6850 7921 8900 12193 13700 15842 18769 24386 31684 37538 39605 48772 60965 75076 79210 93845 121930 158420 187690 198025 243860 304825 375380 396050 469225 609650 792100 938450 1085177 1219300 1670441 1876900 2170354 3340882 4340708 5425885 6681764 8352205 10851770 16704410 21703540 27129425 33408820 41761025 54258850 83522050 108517700 148669249 167044100 297338498 594676996 743346245 1486692490 2973384980 3716731225 7433462450 14866924900