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106778016191 = 71119713672801
BaseRepresentation
bin110001101110001110…
…1110011100110111111
3101012121112200020111102
41203130131303212333
53222140133004231
6121015251243315
710500026106440
oct1433435634677
9335545606442
10106778016191
1141314451a80
121883b8a953b
13a0b8b32002
14524d3152c7
152b9e305acb
hex18dc7739bf

106778016191 has 64 divisors (see below), whose sum is σ = 142544240640. Its totient is φ = 77474880000.

The previous prime is 106778016157. The next prime is 106778016251. The reversal of 106778016191 is 191610877601.

It is a happy number.

It is not a de Polignac number, because 106778016191 - 218 = 106777754047 is a prime.

It is a super-2 number, since 2×1067780161912 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106778016091) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38119991 + ... + 38122791.

It is an arithmetic number, because the mean of its divisors is an integer number (2227253760).

Almost surely, 2106778016191 is an apocalyptic number.

106778016191 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106778016191 is a deficient number, since it is larger than the sum of its proper divisors (35766224449).

106778016191 is a wasteful number, since it uses less digits than its factorization.

106778016191 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3276.

The product of its (nonzero) digits is 127008, while the sum is 47.

The spelling of 106778016191 in words is "one hundred six billion, seven hundred seventy-eight million, sixteen thousand, one hundred ninety-one".

Divisors: 1 7 11 19 71 77 133 209 367 497 781 1349 1463 2569 2801 4037 5467 6973 9443 14839 19607 26057 28259 30811 48811 53219 76703 103873 182399 198871 215677 286627 372533 495083 536921 585409 1027967 1392097 2006389 2187581 3465581 3778549 4097863 5445913 7195769 11307637 15313067 19531373 26449843 38121391 41564039 72985657 79153459 136719611 214845103 290948273 510899599 802842227 1386727483 1503915721 5619895589 9707092381 15254002313 106778016191