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10133562404152 = 23111636247113089
BaseRepresentation
bin1001001101110110011101…
…1000110010110100111000
31022212202111101110101020201
42103131213120302310320
52312012013433413102
633315143322531544
72064061060140505
oct223354730626470
938782441411221
1010133562404152
11325768a883110
121177b51666bb4
1358678b0a89b5
1427067779c4ac
151288e58dd987
hex93767632d38

10133562404152 has 64 divisors (see below), whose sum is σ = 20858428166400. Its totient is φ = 4577132759040.

The previous prime is 10133562404123. The next prime is 10133562404153. The reversal of 10133562404152 is 25140426533101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10133562404153) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 89550424 + ... + 89663512.

It is an arithmetic number, because the mean of its divisors is an integer number (325912940100).

Almost surely, 210133562404152 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 10133562404152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10429214083200).

10133562404152 is an abundant number, since it is smaller than the sum of its proper divisors (10724865762248).

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

10133562404152 is a wasteful number, since it uses less digits than its factorization.

10133562404152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119516 (or 119512 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

Adding to 10133562404152 its reverse (25140426533101), we get a palindrome (35273988937253).

The spelling of 10133562404152 in words is "ten trillion, one hundred thirty-three billion, five hundred sixty-two million, four hundred four thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 22 44 88 163 326 652 1304 1793 3586 6247 7172 12494 14344 24988 49976 68717 113089 137434 226178 274868 452356 549736 904712 1018261 1243979 2036522 2487958 4073044 4975916 8146088 9951832 11200871 18433507 22401742 36867014 44803484 73734028 89606968 147468056 202768577 405537154 706466983 811074308 1412933966 1622148616 2825867932 5651735864 7771136813 15542273626 31084547252 62169094504 115154118229 230308236458 460616472916 921232945832 1266695300519 2533390601038 5066781202076 10133562404152