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191901066 = 23717397677
BaseRepresentation
bin10110111000000…
…10110110001010
3111101002120202220
423130002312022
5343111313231
631013034510
74520063220
oct1334026612
9441076686
10191901066
1199361125
1254325a36
13309acb36
141b6b4b10
1511ca9896
hexb702d8a

191901066 has 64 divisors (see below), whose sum is σ = 466290432. Its totient is φ = 51397632.

The previous prime is 191901053. The next prime is 191901071. The reversal of 191901066 is 660109191.

191901066 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 283120 + ... + 283796.

It is an arithmetic number, because the mean of its divisors is an integer number (7285788).

Almost surely, 2191901066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 191901066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233145216).

191901066 is an abundant number, since it is smaller than the sum of its proper divisors (274389366).

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

191901066 is a wasteful number, since it uses less digits than its factorization.

191901066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103.

The product of its (nonzero) digits is 2916, while the sum is 33.

The square root of 191901066 is about 13852.8360273267. The cubic root of 191901066 is about 576.8007225437.

The spelling of 191901066 in words is "one hundred ninety-one million, nine hundred one thousand, sixty-six".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 357 397 677 714 794 1191 1354 2031 2382 2779 4062 4739 5558 6749 8337 9478 11509 13498 14217 16674 20247 23018 28434 34527 40494 47243 69054 80563 94486 141729 161126 241689 268769 283458 483378 537538 806307 1612614 1881383 3762766 4569073 5644149 9138146 11288298 13707219 27414438 31983511 63967022 95950533 191901066