Search a number
-
+
19657093401 = 321143103127353
BaseRepresentation
bin10010010011101001…
…110111000100011001
31212201221021210211100
4102103221313010121
5310224203442101
613010315422013
71264056352131
oct222351670431
955657253740
1019657093401
118377a0a240
123987154909
131b1363631a
14d46943ac1
157a0ad3e86
hex493a77119

19657093401 has 96 divisors (see below), whose sum is σ = 32346243072. Its totient is φ = 11400238080.

The previous prime is 19657093381. The next prime is 19657093409. The reversal of 19657093401 is 10439075691.

19657093401 is a `hidden beast` number, since 1 + 96 + 5 + 70 + 93 + 401 = 666.

It is not a de Polignac number, because 19657093401 - 25 = 19657093369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (19657093409) 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 95 ways as a sum of consecutive naturals, for example, 55685641 + ... + 55685993.

It is an arithmetic number, because the mean of its divisors is an integer number (336940032).

Almost surely, 219657093401 is an apocalyptic number.

19657093401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

19657093401 is a deficient number, since it is larger than the sum of its proper divisors (12689149671).

19657093401 is a wasteful number, since it uses less digits than its factorization.

19657093401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 19657093401 in words is "nineteen billion, six hundred fifty-seven million, ninety-three thousand, four hundred one".

Divisors: 1 3 9 11 33 43 99 103 127 129 309 353 381 387 473 927 1059 1133 1143 1397 1419 3177 3399 3883 4191 4257 4429 5461 10197 11649 12573 13081 13287 15179 16383 34947 36359 39243 39861 44831 45537 48719 49149 60071 109077 117729 134493 136611 143891 146157 166969 180213 327231 399949 403479 431673 438471 493141 500907 540639 562483 1199847 1295019 1479423 1502721 1563437 1687449 1927733 3599541 4438269 4617593 4690311 5062347 5783199 6187313 13852779 14070933 17197807 17349597 18561939 21205063 41558337 50793523 51593421 55685817 63615189 152380569 154780263 190845567 198556499 457141707 595669497 1787008491 2184121489 6552364467 19657093401