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116348093829 = 32118317979103
BaseRepresentation
bin110110001011011100…
…0110000010110000101
3102010022111110120000100
41230112320300112011
53401240103000304
6125241035234313
711256133323432
oct1542670602605
9363274416010
10116348093829
1145385513a50
121a6708a8999
13ac82732346
1458ba324b89
15305e58e439
hex1b16e30585

116348093829 has 48 divisors (see below), whose sum is σ = 186584186880. Its totient is φ = 69274367520.

The previous prime is 116348093773. The next prime is 116348093831. The reversal of 116348093829 is 928390843611.

116348093829 is a `hidden beast` number, since 11 + 63 + 480 + 93 + 8 + 2 + 9 = 666.

It is not a de Polignac number, because 116348093829 - 212 = 116348089733 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116348093899) 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 47 ways as a sum of consecutive naturals, for example, 1431292 + ... + 1510394.

It is an arithmetic number, because the mean of its divisors is an integer number (3887170560).

Almost surely, 2116348093829 is an apocalyptic number.

It is an amenable number.

116348093829 is a deficient number, since it is larger than the sum of its proper divisors (70236093051).

116348093829 is a wasteful number, since it uses less digits than its factorization.

116348093829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79382 (or 79379 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 116348093829 in words is "one hundred sixteen billion, three hundred forty-eight million, ninety-three thousand, eight hundred twenty-nine".

Divisors: 1 3 9 11 33 83 99 179 249 537 747 913 1611 1969 2739 5907 8217 14857 17721 44571 79103 133713 163427 237309 490281 711927 870133 1470843 2610399 6565549 7831197 14159437 19696647 42478311 59089941 72221039 127434933 155753807 216663117 467261421 649989351 1175233271 1401784263 3525699813 10577099439 12927565981 38782697943 116348093829