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393313213404 = 223471149114749
BaseRepresentation
bin1011011100100110100…
…10110101101111011100
31101121012200012102020000
411232103102311233130
522421001140312104
6500404031054300
740262445103236
oct5562322655734
91347180172200
10393313213404
11141892067691
1264287971390
132b1211ab597
1415072099256
15a36e84d639
hex5b934b5bdc

393313213404 has 120 divisors (see below), whose sum is σ = 1049687100000. Its totient is φ = 128389242240.

The previous prime is 393313213393. The next prime is 393313213439. The reversal of 393313213404 is 404312313393.

393313213404 is a `hidden beast` number, since 3 + 9 + 3 + 31 + 3 + 213 + 404 = 666.

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 (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3370222 + ... + 3484970.

It is an arithmetic number, because the mean of its divisors is an integer number (8747392500).

Almost surely, 2393313213404 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 393313213404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524843550000).

393313213404 is an abundant number, since it is smaller than the sum of its proper divisors (656373886596).

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

393313213404 is a wasteful number, since it uses less digits than its factorization.

393313213404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114985 (or 114974 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

Adding to 393313213404 its reverse (404312313393), we get a palindrome (797625526797).

The spelling of 393313213404 in words is "three hundred ninety-three billion, three hundred thirteen million, two hundred thirteen thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 71 81 108 142 149 162 213 284 298 324 426 447 596 639 852 894 1278 1341 1788 1917 2556 2682 3834 4023 5364 5751 7668 8046 10579 11502 12069 16092 21158 23004 24138 31737 42316 48276 63474 95211 114749 126948 190422 229498 285633 344247 380844 458996 571266 688494 856899 1032741 1142532 1376988 1713798 2065482 3098223 3427596 4130964 6196446 8147179 9294669 12392892 16294358 17097601 18589338 24441537 32588716 34195202 37178676 48883074 51292803 68390404 73324611 97766148 102585606 146649222 153878409 205171212 219973833 293298444 307756818 439947666 461635227 615513636 659921499 879895332 923270454 1213929671 1319842998 1384905681 1846540908 2427859342 2639685996 2769811362 3641789013 4855718684 5539622724 7283578026 10925367039 14567156052 21850734078 32776101117 43701468156 65552202234 98328303351 131104404468 196656606702 393313213404