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10356431052 = 22311197449887
BaseRepresentation
bin10011010010100101…
…01001100011001100
3222201202110012121110
421221102221203030
5132202221243202
64431354132020
7514433132352
oct115122514314
928652405543
1010356431052
114434a31a30
122010421010
13c907b5916
147036257d2
1540931726c
hex2694a98cc

10356431052 has 96 divisors (see below), whose sum is σ = 26584588800. Its totient is φ = 3111915520.

The previous prime is 10356431047. The next prime is 10356431083. The reversal of 10356431052 is 25013465301.

It is a super-3 number, since 3×103564310523 (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11675353 + ... + 11676239.

It is an arithmetic number, because the mean of its divisors is an integer number (276922800).

Almost surely, 210356431052 is an apocalyptic number.

10356431052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10356431052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13292294400).

10356431052 is an abundant number, since it is smaller than the sum of its proper divisors (16228157748).

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

10356431052 is a wasteful number, since it uses less digits than its factorization.

10356431052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551 (or 1549 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 10356431052 its reverse (25013465301), we get a palindrome (35369896353).

The spelling of 10356431052 in words is "ten billion, three hundred fifty-six million, four hundred thirty-one thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 197 394 449 591 788 887 898 1182 1347 1774 1796 2167 2364 2661 2694 3548 4334 4939 5322 5388 6501 8668 9757 9878 10644 13002 14817 19514 19756 26004 29271 29634 39028 58542 59268 88453 117084 174739 176906 265359 349478 353812 398263 524217 530718 698956 796526 972983 1048434 1061436 1194789 1593052 1922129 1945966 2096868 2389578 2918949 3844258 3891932 4380893 4779156 5766387 5837898 7688516 8761786 11532774 11675796 13142679 17523572 23065548 26285358 52570716 78457811 156915622 235373433 313831244 470746866 863035921 941493732 1726071842 2589107763 3452143684 5178215526 10356431052