Search a number
-
+
191009811132 = 223271097690953
BaseRepresentation
bin1011000111100100010…
…0100110101010111100
3200021000210122202211100
42301321010212222330
511112142002424012
6223425415053100
716541254414560
oct2617104465274
9607023582740
10191009811132
1174009071248
1231028971190
13150208c57aa
1493601016a0
154e7e0848dc
hex2c79126abc

191009811132 has 72 divisors (see below), whose sum is σ = 552309934176. Its totient is φ = 54524404224.

The previous prime is 191009811073. The next prime is 191009811163. The reversal of 191009811132 is 231118900191.

191009811132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1910098111322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69033 + ... + 621920.

It is an arithmetic number, because the mean of its divisors is an integer number (7670971308).

Almost surely, 2191009811132 is an apocalyptic number.

191009811132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

191009811132 is an abundant number, since it is smaller than the sum of its proper divisors (361300123044).

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

191009811132 is a wasteful number, since it uses less digits than its factorization.

191009811132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692067 (or 692062 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 36.

The spelling of 191009811132 in words is "one hundred ninety-one billion, nine million, eight hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 1097 2194 3291 4388 6582 7679 9873 13164 15358 19746 23037 30716 39492 46074 69111 92148 138222 276444 690953 1381906 2072859 2763812 4145718 4836671 6218577 8291436 9673342 12437154 14510013 19346684 24874308 29020026 43530039 58040052 87060078 174120156 757975441 1515950882 2273926323 3031901764 4547852646 5305828087 6821778969 9095705292 10611656174 13643557938 15917484261 21223312348 27287115876 31834968522 47752452783 63669937044 95504905566 191009811132