Search a number
-
+
194153500827 = 331121325932
BaseRepresentation
bin1011010011010001110…
…0110101000010011011
3200120010220001202101000
42310310130311002123
511140111244011302
6225105355200043
720012206345626
oct2646434650233
9616126052330
10194153500827
1175381653900
1231765746023
1315401ca9900
14957b82cdbd
1550b505d31c
hex2d3473509b

194153500827 has 108 divisors (see below), whose sum is σ = 342929695080. Its totient is φ = 108434177280.

The previous prime is 194153500823. The next prime is 194153500841. The reversal of 194153500827 is 728005351491.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

194153500827 is a `hidden beast` number, since 1 + 94 + 1 + 53 + 500 + 8 + 2 + 7 = 666.

194153500827 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 194153500827 - 22 = 194153500823 is a prime.

It is not an unprimeable number, because it can be changed into a prime (194153500823) 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 107 ways as a sum of consecutive naturals, for example, 327408643 + ... + 327409235.

Almost surely, 2194153500827 is an apocalyptic number.

194153500827 is a deficient number, since it is larger than the sum of its proper divisors (148776194253).

194153500827 is an equidigital number, since it uses as much as digits as its factorization.

194153500827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 194153500827 in words is "one hundred ninety-four billion, one hundred fifty-three million, five hundred thousand, eight hundred twenty-seven".

Divisors: 1 3 9 11 13 27 33 39 99 117 121 143 169 297 351 363 429 507 593 1089 1287 1521 1573 1779 1859 3267 3861 4563 4719 5337 5577 6523 7709 14157 16011 16731 19569 20449 23127 42471 50193 58707 61347 69381 71753 84799 100217 176121 184041 208143 215259 254397 300651 351649 552123 645777 763191 901953 932789 1054947 1102387 1937331 2289573 2705859 2798367 3164841 3307161 3868139 4571437 8395101 9494523 9921483 11604417 12126257 13714311 25185303 29764449 34813251 36378771 41142933 42549529 50285807 59428681 104439753 109136313 123428799 127648587 150857421 178286043 327408939 382945761 452572263 534858129 553143877 653715491 1148837283 1357716789 1604574387 1659431631 1961146473 4978294893 5883439419 7190870401 14934884679 17650318257 21572611203 64717833609 194153500827