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190996094961 = 34749912
BaseRepresentation
bin1011000111100001000…
…0010001111111110001
3200020222211211220210000
42301320100101333301
511112130000014321
6223424205100213
716541030010000
oct2617020217761
9606884756700
10190996094961
1174001353071
1231024257669
131501ab02609
14935c370c37
154e7cc75826
hex2c78411ff1

190996094961 has 75 divisors (see below), whose sum is σ = 333184084233. Its totient is φ = 109030493880.

The previous prime is 190996094929. The next prime is 190996095023. The reversal of 190996094961 is 169490699091.

The square root of 190996094961 is 437031.

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

190996094961 is a `hidden beast` number, since 19 + 0 + 9 + 9 + 609 + 4 + 9 + 6 + 1 = 666.

190996094961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 190996094961 - 25 = 190996094929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (190996094911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 192730176 + ... + 192731166.

Almost surely, 2190996094961 is an apocalyptic number.

190996094961 is the 437031-st square number.

190996094961 is the 218516-th centered octagonal number.

It is an amenable number.

190996094961 is a deficient number, since it is larger than the sum of its proper divisors (142187989272).

190996094961 is an frugal number, since it uses more digits than its factorization.

190996094961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 8503056, while the sum is 63.

The spelling of 190996094961 in words is "one hundred ninety billion, nine hundred ninety-six million, ninety-four thousand, nine hundred sixty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 343 441 567 991 1029 1323 2401 2973 3087 3969 6937 7203 8919 9261 20811 21609 26757 27783 48559 62433 64827 80271 145677 187299 194481 339913 437031 561897 982081 1019739 1311093 2379391 2946243 3059217 3933279 6874567 7138173 8838729 9177651 20623701 21414519 26516187 27532953 48121969 61871103 64243557 79548561 144365907 185613309 192730671 336853783 433097721 556839927 1010561349 1299293163 2357976481 3031684047 3897879489 7073929443 9095052141 21221788329 27285156423 63665364987 190996094961