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16109930106 = 2346710091471
BaseRepresentation
bin11110000000011101…
…00000011001111010
31112120201200020120000
433000032200121322
5230443120230411
611222323413430
71110135101154
oct170016403172
945521606500
1016109930106
1169176a9a26
123157224276
13169979582a
14acb7c9ad4
156444ac956
hex3c03a067a

16109930106 has 80 divisors (see below), whose sum is σ = 36698196480. Its totient is φ = 5280992640.

The previous prime is 16109930087. The next prime is 16109930107. The reversal of 16109930106 is 60103990161.

16109930106 is a `hidden beast` number, since 1 + 610 + 9 + 9 + 30 + 1 + 0 + 6 = 666.

16109930106 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (16109930107) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10950951 + ... + 10952421.

It is an arithmetic number, because the mean of its divisors is an integer number (458727456).

Almost surely, 216109930106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16109930106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18349098240).

16109930106 is an abundant number, since it is smaller than the sum of its proper divisors (20588266374).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16109930106 is a wasteful number, since it uses less digits than its factorization.

16109930106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2561 (or 2552 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The spelling of 16109930106 in words is "sixteen billion, one hundred nine million, nine hundred thirty thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 54 67 81 134 162 201 402 603 1009 1206 1471 1809 2018 2942 3027 3618 4413 5427 6054 8826 9081 10854 13239 18162 26478 27243 39717 54486 67603 79434 81729 98557 119151 135206 163458 197114 202809 238302 295671 405618 591342 608427 887013 1216854 1484239 1774026 1825281 2661039 2968478 3650562 4452717 5322078 5475843 7983117 8905434 10951686 13358151 15966234 26716302 40074453 80148906 99444013 120223359 198888026 240446718 298332039 596664078 894996117 1789992234 2684988351 5369976702 8054965053 16109930106