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198268935076 = 2225128872
BaseRepresentation
bin1011100010100110111…
…1111101101110100100
3200221202200222110211201
42320221233331232210
511222023321410301
6231030011212244
720216201066332
oct2705157755644
9627680873751
10198268935076
11770a3710533
1232513a47084
13159097b6cc4
14984c230b52
1552564d6201
hex2e29bfdba4

198268935076 has 27 divisors (see below), whose sum is σ = 348751677547. Its totient is φ = 98628191000.

The previous prime is 198268935049. The next prime is 198268935077. The reversal of 198268935076 is 670539862891.

The square root of 198268935076 is 445274.

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

It is a super-2 number, since 2×1982689350762 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 198268934999 and 198268935017.

It is not an unprimeable number, because it can be changed into a prime (198268935077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 223527105 + ... + 223527991.

Almost surely, 2198268935076 is an apocalyptic number.

198268935076 is the 445274-th square number.

It is an amenable number.

198268935076 is a deficient number, since it is larger than the sum of its proper divisors (150482742471).

198268935076 is an frugal number, since it uses more digits than its factorization.

198268935076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2280 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 64.

Multiplying 198268935076 by its sum of digits (64), we get a square (12689211844864 = 35621922).

The spelling of 198268935076 in words is "one hundred ninety-eight billion, two hundred sixty-eight million, nine hundred thirty-five thousand, seventy-six".

Divisors: 1 2 4 251 502 887 1004 1774 3548 63001 126002 222637 252004 445274 786769 890548 1573538 3147076 55881887 111763774 197479019 223527548 394958038 789916076 49567233769 99134467538 198268935076