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191338804384 = 2571365707007
BaseRepresentation
bin1011001000110010101…
…1100111010010100000
3200021212201201100201121
42302030223213102200
511113330213220014
6223522210342024
716552361000560
oct2621453472240
9607781640647
10191338804384
11741678487a2
12310bab8a914
1315073b05260
149391aa0da0
154e9cdbe124
hex2c8cae74a0

191338804384 has 48 divisors (see below), whose sum is σ = 463628648448. Its totient is φ = 75694470912.

The previous prime is 191338804367. The next prime is 191338804399. The reversal of 191338804384 is 483408833191.

191338804384 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1913388043842 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 32850592 + ... + 32856415.

It is an arithmetic number, because the mean of its divisors is an integer number (9658930176).

Almost surely, 2191338804384 is an apocalyptic number.

191338804384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

191338804384 is an abundant number, since it is smaller than the sum of its proper divisors (272289844064).

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

191338804384 is a wasteful number, since it uses less digits than its factorization.

191338804384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65707037 (or 65707029 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 52.

The spelling of 191338804384 in words is "one hundred ninety-one billion, three hundred thirty-eight million, eight hundred four thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2912 65707007 131414014 262828028 459949049 525656056 854191091 919898098 1051312112 1708382182 1839796196 2102624224 3416764364 3679592392 5979337637 6833528728 7359184784 11958675274 13667057456 14718369568 23917350548 27334114912 47834701096 95669402192 191338804384