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21655236610144 = 2523137911235747
BaseRepresentation
bin1001110110010000000001…
…01011111000100001100000
32211200012221200011111220201
410323020000223320201200
510314244411033011034
6114020140043114544
74363352644042444
oct473100053704140
984605850144821
1021655236610144
116999a30574255
122518b1ab12a54
13c11106b40277
1454c19492c824
15278480903014
hex13b200af8860

21655236610144 has 96 divisors (see below), whose sum is σ = 44861494035456. Its totient is φ = 10269925585920.

The previous prime is 21655236610087. The next prime is 21655236610153. The reversal of 21655236610144 is 44101663255612.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a junction number, because it is equal to n+sod(n) for n = 21655236610094 and 21655236610103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91740079 + ... + 91975825.

It is an arithmetic number, because the mean of its divisors is an integer number (467307229536).

Almost surely, 221655236610144 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 21655236610144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22430747017728).

21655236610144 is an abundant number, since it is smaller than the sum of its proper divisors (23206257425312).

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

21655236610144 is a wasteful number, since it uses less digits than its factorization.

21655236610144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236828 (or 236820 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 46.

Adding to 21655236610144 its reverse (44101663255612), we get a palindrome (65756899865756).

The spelling of 21655236610144 in words is "twenty-one trillion, six hundred fifty-five billion, two hundred thirty-six million, six hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 23 32 46 92 137 184 274 368 548 736 911 1096 1822 2192 3151 3644 4384 6302 7288 12604 14576 20953 25208 29152 41906 50416 83812 100832 124807 167624 235747 249614 335248 471494 499228 670496 942988 998456 1885976 1996912 2870561 3771952 3993824 5422181 5741122 7543904 10844362 11482244 21688724 22964488 32297339 43377448 45928976 64594678 86754896 91857952 129189356 173509792 214765517 258378712 429531034 516757424 742838797 859062068 1033514848 1485677594 1718124136 2971355188 3436248272 4939606891 5942710376 6872496544 9879213782 11885420752 19758427564 23770841504 29422875829 39516855128 58845751658 79033710256 117691503316 158067420512 235383006632 470766013264 676726144067 941532026528 1353452288134 2706904576268 5413809152536 10827618305072 21655236610144