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213044005404 = 223237983162709
BaseRepresentation
bin1100011001101001101…
…0011000101000011100
3202100220101212211000200
43012122122120220130
511442303231133104
6241512052223500
721251300111166
oct3063232305034
9670811784020
10213044005404
118239587255a
123535800ab90
131712285a879
14a450623936
15581d6b9b39
hex319a698a1c

213044005404 has 72 divisors (see below), whose sum is σ = 553648761120. Its totient is φ = 69024638592.

The previous prime is 213044005387. The next prime is 213044005411. The reversal of 213044005404 is 404500440312.

It is a happy number.

213044005404 is a `hidden beast` number, since 213 + 0 + 4 + 40 + 0 + 5 + 404 = 666.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1228002 + ... + 1390710.

Almost surely, 2213044005404 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 213044005404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276824380560).

213044005404 is an abundant number, since it is smaller than the sum of its proper divisors (340604755716).

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

213044005404 is a wasteful number, since it uses less digits than its factorization.

213044005404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163739 (or 163734 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 213044005404 its reverse (404500440312), we get a palindrome (617544445716).

The spelling of 213044005404 in words is "two hundred thirteen billion, forty-four million, five thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 983 1332 1966 2949 3932 5898 8847 11796 17694 35388 36371 72742 109113 145484 162709 218226 325418 327339 436452 488127 650836 654678 976254 1309356 1464381 1952508 2928762 5857524 6020233 12040466 18060699 24080932 36121398 54182097 72242796 108364194 159942947 216728388 319885894 479828841 639771788 959657682 1439486523 1919315364 2878973046 5757946092 5917889039 11835778078 17753667117 23671556156 35507334234 53261001351 71014668468 106522002702 213044005404