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194845664 = 25132931521
BaseRepresentation
bin10111001110100…
…01101111100000
3111120122012000002
423213101233200
5344340030124
631200115132
74554106106
oct1347215740
9446565002
10194845664
119aa92482
1255305aa8
13314a11c0
141bc3dc76
151218c0ae
hexb9d1be0

194845664 has 96 divisors (see below), whose sum is σ = 441987840. Its totient is φ = 83865600.

The previous prime is 194845657. The next prime is 194845669. The reversal of 194845664 is 466548491.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (194845669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 373724 + ... + 374244.

It is an arithmetic number, because the mean of its divisors is an integer number (4604040).

Almost surely, 2194845664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 194845664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220993920).

194845664 is an abundant number, since it is smaller than the sum of its proper divisors (247142176).

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

194845664 is a wasteful number, since it uses less digits than its factorization.

194845664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 596 counting only the distinct ones).

The product of its digits is 829440, while the sum is 47.

The square root of 194845664 is about 13958.7128346420. The cubic root of 194845664 is about 579.7359717811.

The spelling of 194845664 in words is "one hundred ninety-four million, eight hundred forty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 29 31 32 52 58 62 104 116 124 208 232 248 377 403 416 464 496 521 754 806 899 928 992 1042 1508 1612 1798 2084 3016 3224 3596 4168 6032 6448 6773 7192 8336 11687 12064 12896 13546 14384 15109 16151 16672 23374 27092 28768 30218 32302 46748 54184 60436 64604 93496 108368 120872 129208 186992 196417 209963 216736 241744 258416 373984 392834 419926 468379 483488 516832 785668 839852 936758 1571336 1679704 1873516 3142672 3359408 3747032 6088927 6285344 6718816 7494064 12177854 14988128 24355708 48711416 97422832 194845664