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206453914384 = 2429239172
BaseRepresentation
bin1100000001000110011…
…1001011101100010000
3201201220010110111122111
43000101213023230100
511340304200230014
6234502115515104
720626056213634
oct3002147135420
9651803414574
10206453914384
117a613941643
1234018bb8a94
1316612455523
149dc72cadc4
155584d702c4
hex30119cbb10

206453914384 has 45 divisors (see below), whose sum is σ = 414379135807. Its totient is φ = 99641962112.

The previous prime is 206453914363. The next prime is 206453914399. The reversal of 206453914384 is 483419354602.

The square root of 206453914384 is 454372.

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

It can be written as a sum of positive squares in 4 ways, for example, as 25427491600 + 181026422784 = 159460^2 + 425472^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 52705194 + ... + 52709110.

Almost surely, 2206453914384 is an apocalyptic number.

206453914384 is the 454372-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206453914384

206453914384 is an abundant number, since it is smaller than the sum of its proper divisors (207925221423).

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

206453914384 is an frugal number, since it uses more digits than its factorization.

206453914384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7900 (or 3948 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 49.

Multiplying 206453914384 by its sum of digits (49), we get a square (10116241804816 = 31806042).

The spelling of 206453914384 in words is "two hundred six billion, four hundred fifty-three million, nine hundred fourteen thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 29 58 116 232 464 841 1682 3364 3917 6728 7834 13456 15668 31336 62672 113593 227186 454372 908744 1817488 3294197 6588394 13176788 15342889 26353576 30685778 52707152 61371556 122743112 245486224 444943781 889887562 1779775124 3559550248 7119100496 12903369649 25806739298 51613478596 103226957192 206453914384