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61244422444216 = 231116332571310927
BaseRepresentation
bin11011110110011100101000…
…00010110101010010111000
322000211220120002202121102101
431323032110002311102320
531011412034121203331
6334131144350113144
715620522611246564
oct1573162402652270
9260756502677371
1061244422444216
1118572682916010
126a516b51ab7b4
13282342a50953b
14111a36290a6a4
15713194644061
hex37b3940b54b8

61244422444216 has 64 divisors (see below), whose sum is σ = 126080021076480. Its totient is φ = 27659070362880.

The previous prime is 61244422444213. The next prime is 61244422444223.

61244422444216 is nontrivially palindromic in base 10.

61244422444216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×612444224442163 (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61244422444211) 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, 46062945 + ... + 47373871.

It is an arithmetic number, because the mean of its divisors is an integer number (1970000329320).

Almost surely, 261244422444216 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 61244422444216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63040010538240).

61244422444216 is an abundant number, since it is smaller than the sum of its proper divisors (64835598632264).

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

61244422444216 is a wasteful number, since it uses less digits than its factorization.

61244422444216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314364 (or 1314360 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 46.

It can be divided in two parts, 6124442 and 2444216, that added together give a palindrome (8568658).

The spelling of 61244422444216 in words is "sixty-one trillion, two hundred forty-four billion, four hundred twenty-two million, four hundred forty-four thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 22 44 88 163 326 652 1304 1793 3257 3586 6514 7172 13028 14344 26056 35827 71654 143308 286616 530891 1061782 1310927 2123564 2621854 4247128 5243708 5839801 10487416 11679602 14420197 23359204 28840394 46718408 57680788 115361576 213681101 427362202 854724404 1709448808 2350492111 4269689239 4700984222 8539378478 9401968444 17078756956 18803936888 34157513912 46966581629 93933163258 187866326516 375732653032 695959345957 1391918691914 2783837383828 5567674767656 7655552805527 15311105611054 30622211222108 61244422444216