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2122896461568 = 2834917437577
BaseRepresentation
bin11110111001000110011…
…111010100111100000000
321111221120022012221202220
4132321012133110330000
5234240142443232233
64303124542411040
7306242232122601
oct36710637247400
97457508187686
102122896461568
117493517883a3
122a3521890a80
1312525a850a0c
1474a6a769da8
153a34c3c3eb3
hex1ee467d4f00

2122896461568 has 144 divisors (see below), whose sum is σ = 5669875604736. Its totient is φ = 705147412480.

The previous prime is 2122896461561. The next prime is 2122896461659. The reversal of 2122896461568 is 8651646982212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122896461561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280172596 + ... + 280180172.

It is an arithmetic number, because the mean of its divisors is an integer number (39374136144).

Almost surely, 22122896461568 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 2122896461568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2834937802368).

2122896461568 is an abundant number, since it is smaller than the sum of its proper divisors (3546979143168).

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

2122896461568 is an equidigital number, since it uses as much as digits as its factorization.

2122896461568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8830 (or 8816 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 60.

The spelling of 2122896461568 in words is "two trillion, one hundred twenty-two billion, eight hundred ninety-six million, four hundred sixty-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 491 743 768 982 1473 1486 1964 2229 2946 2972 3928 4458 5892 5944 7577 7856 8916 11784 11888 15154 15712 17832 22731 23568 23776 30308 31424 35664 45462 47136 47552 60616 62848 71328 90924 94272 95104 121232 125696 142656 181848 188544 190208 242464 285312 363696 364813 377088 484928 570624 727392 729626 969856 1094439 1454784 1459252 1939712 2188878 2909568 2918504 3720307 4377756 5629711 5819136 5837008 7440614 8755512 11160921 11259422 11674016 14881228 16889133 17511024 22321842 22518844 23348032 29762456 33778266 35022048 44643684 45037688 46696064 59524912 67556532 70044096 89287368 90075376 93392128 119049824 135113064 140088192 178574736 180150752 238099648 270226128 280176384 357149472 360301504 476199296 540452256 714298944 720603008 952398592 1080904512 1428597888 1441206016 2161809024 2764188101 2857195776 4323618048 5528376202 8292564303 11056752404 16585128606 22113504808 33170257212 44227009616 66340514424 88454019232 132681028848 176908038464 265362057696 353816076928 530724115392 707632153856 1061448230784 2122896461568