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187411933921 = 97244632
BaseRepresentation
bin1010111010001010011…
…1110010101011100001
3122220202001121200010211
42232202213302223201
511032304423341141
6222032412054121
716353146103622
oct2564247625341
9586661550124
10187411933921
1172532172903
12303a3a64341
13148993a9974
1490dc345a49
154d1d291d81
hex2ba29f2ae1

187411933921 has 9 divisors (see below), whose sum is σ = 189406373331. Its totient is φ = 185438292672.

The previous prime is 187411933909. The next prime is 187411933931. The reversal of 187411933921 is 129339114781.

The square root of 187411933921 is 432911.

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

It can be written as a sum of positive squares in only one way, i.e., 84155109025 + 103256824896 = 290095^2 + 321336^2 .

It is not a de Polignac number, because 187411933921 - 215 = 187411901153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (187411933931) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 41990136 + ... + 41994598.

Almost surely, 2187411933921 is an apocalyptic number.

187411933921 is the 432911-st square number.

187411933921 is the 216456-th centered octagonal number.

It is an amenable number.

187411933921 is a deficient number, since it is larger than the sum of its proper divisors (1994439410).

187411933921 is an frugal number, since it uses more digits than its factorization.

187411933921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9120 (or 4560 counting only the distinct ones).

The product of its digits is 326592, while the sum is 49.

Multiplying 187411933921 by its sum of digits (49), we get a square (9183184762129 = 30303772).

The spelling of 187411933921 in words is "one hundred eighty-seven billion, four hundred eleven million, nine hundred thirty-three thousand, nine hundred twenty-one".

Divisors: 1 97 4463 9409 432911 19918369 41992367 1932081793 187411933921