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21655054106144 = 257274909189619
BaseRepresentation
bin1001110110001111101011…
…10011101011111000100000
32211200012110221202100111022
410323013311303223320200
510314244022322344034
6114020110003305012
74363345266555014
oct473076563537040
984605427670438
1021655054106144
1169999475512a8
122518a8997b168
13c110a80a0734
1454c1785c2544
1527846e8a2b2e
hex13b1f5cebe20

21655054106144 has 48 divisors (see below), whose sum is σ = 42700952548800. Its totient is φ = 10810373992704.

The previous prime is 21655054106123. The next prime is 21655054106149. The reversal of 21655054106144 is 44160145055612.

It is a super-2 number, since 2×216550541061442 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21655054106095 and 21655054106104.

It is not an unprimeable number, because it can be changed into a prime (21655054106149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114108167 + ... + 114297785.

It is an arithmetic number, because the mean of its divisors is an integer number (889603178100).

Almost surely, 221655054106144 is an apocalyptic number.

It is an amenable number.

21655054106144 is a deficient number, since it is larger than the sum of its proper divisors (21045898442656).

21655054106144 is a wasteful number, since it uses less digits than its factorization.

21655054106144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195265 (or 195257 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 44.

The spelling of 21655054106144 in words is "twenty-one trillion, six hundred fifty-five billion, fifty-four million, one hundred six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 727 1454 2908 4909 5816 9818 11632 19636 23264 39272 78544 157088 189619 379238 758476 1516952 3033904 3568843 6067808 7137686 14275372 28550744 57101488 114202976 137853013 275706026 551412052 930839671 1102824104 1861679342 2205648208 3723358684 4411296416 7446717368 14893434736 29786869472 676720440817 1353440881634 2706881763268 5413763526536 10827527053072 21655054106144