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190061993521 = 197222132
BaseRepresentation
bin1011000100000010010…
…0111101111000110001
3200011120202011122111101
42301000210331320301
511103221332243041
6223151400044401
716505625201121
oct2610044757061
9604522148441
10190061993521
1173672049904
1230a03463701
1314bcc42917a
1492b0298c81
154e25c5eb31
hex2c4093de31

190061993521 has 9 divisors (see below), whose sum is σ = 191118034081. Its totient is φ = 189011763472.

The previous prime is 190061993507. The next prime is 190061993533. The reversal of 190061993521 is 125399160091.

It is a happy number.

The square root of 190061993521 is 435961.

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 180379433521 + 9682560000 = 424711^2 + 98400^2 .

It is not a de Polignac number, because 190061993521 - 213 = 190061985329 is a prime.

It is a super-2 number, since 2×1900619935212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (190061993021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 85883211 + ... + 85885423.

Almost surely, 2190061993521 is an apocalyptic number.

190061993521 is the 435961-st square number.

190061993521 is the 217981-st centered octagonal number.

It is an amenable number.

190061993521 is a deficient number, since it is larger than the sum of its proper divisors (1056040560).

190061993521 is an frugal number, since it uses more digits than its factorization.

190061993521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4820 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 46.

The spelling of 190061993521 in words is "one hundred ninety billion, sixty-one million, nine hundred ninety-three thousand, five hundred twenty-one".

Divisors: 1 197 2213 38809 435961 4897369 85884317 964781693 190061993521