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190236417921 = 32112132172
BaseRepresentation
bin1011000100101011111…
…0010101111110000001
3200012000220101022210100
42301022332111332001
511104101010333141
6223220550353013
716513143605064
oct2611276257601
9605026338710
10190236417921
1173751553500
1230a5195b769
1314c295ca284
1492c95008db
154e362160b6
hex2c4af95f81

190236417921 has 27 divisors (see below), whose sum is σ = 302060288803. Its totient is φ = 115286075520.

The previous prime is 190236417913. The next prime is 190236417971. The reversal of 190236417921 is 129714632091.

The square root of 190236417921 is 436161.

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

190236417921 is a `hidden beast` number, since 190 + 2 + 364 + 17 + 92 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 77114513025 + 113121904896 = 277695^2 + 336336^2 .

It is not a de Polignac number, because 190236417921 - 23 = 190236417913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (190236417971) 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, 14386705 + ... + 14399921.

Almost surely, 2190236417921 is an apocalyptic number.

190236417921 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

190236417921 is the 436161-st square number.

190236417921 is the 218081-st centered octagonal number.

It is an amenable number.

190236417921 is a deficient number, since it is larger than the sum of its proper divisors (111823870882).

190236417921 is an frugal number, since it uses more digits than its factorization.

190236417921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26462 (or 13231 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 190236417921 in words is "one hundred ninety billion, two hundred thirty-six million, four hundred seventeen thousand, nine hundred twenty-one".

Divisors: 1 3 9 11 33 99 121 363 1089 13217 39651 118953 145387 436161 1308483 1599257 4797771 14393313 174689089 524067267 1572201801 1921579979 5764739937 17294219811 21137379769 63412139307 190236417921