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213346112352 = 25322330193301
BaseRepresentation
bin1100011010110001101…
…0110101001101100000
3202101200110100102211220
43012230122311031200
511443413101043402
6242002043335040
721261626014362
oct3065432651540
9671613312756
10213346112352
1182530355a1a
1235421221480
1317170315689
14a47c7c4d32
155839e92dbc
hex31ac6b5360

213346112352 has 96 divisors (see below), whose sum is σ = 562901713920. Its totient is φ = 70751577600.

The previous prime is 213346112351. The next prime is 213346112431. The reversal of 213346112352 is 253211643312.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213346112351) 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, 64629102 + ... + 64632402.

It is an arithmetic number, because the mean of its divisors is an integer number (5863559520).

Almost surely, 2213346112352 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 213346112352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281450856960).

213346112352 is an abundant number, since it is smaller than the sum of its proper divisors (349555601568).

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

213346112352 is a wasteful number, since it uses less digits than its factorization.

213346112352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6556 (or 6548 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

Adding to 213346112352 its reverse (253211643312), we get a palindrome (466557755664).

The spelling of 213346112352 in words is "two hundred thirteen billion, three hundred forty-six million, one hundred twelve thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 223 446 669 892 1338 1784 2676 3019 3301 3568 5352 6038 6602 7136 9057 9903 10704 12076 13204 18114 19806 21408 24152 26408 36228 39612 48304 52816 72456 79224 96608 105632 144912 158448 289824 316896 673237 736123 1346474 1472246 2019711 2208369 2692948 2944492 4039422 4416738 5385896 5888984 8078844 8833476 9965719 10771792 11777968 16157688 17666952 19931438 21543584 23555936 29897157 32315376 35333904 39862876 59794314 64630752 70667808 79725752 119588628 159451504 239177256 318903008 478354512 956709024 2222355337 4444710674 6667066011 8889421348 13334132022 17778842696 26668264044 35557685392 53336528088 71115370784 106673056176 213346112352