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2122558806840 = 23351511123104309
BaseRepresentation
bin11110111000110010010…
…111010001101100111000
321111220200202212022120020
4132320302113101230320
5234234000023304330
64303031241330440
7306230662113513
oct36706227215470
97456622768506
102122558806840
117491991253aa
122a3448796a20
131252058caa14
1474a37993d7a
153a32c928210
hex1ee325d1b38

2122558806840 has 128 divisors (see below), whose sum is σ = 6415615756800. Its totient is φ = 561761164800.

The previous prime is 2122558806829. The next prime is 2122558806853. The reversal of 2122558806840 is 486088552212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20296606 + ... + 20400914.

It is an arithmetic number, because the mean of its divisors is an integer number (50121998100).

Almost surely, 22122558806840 is an apocalyptic number.

2122558806840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122558806840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3207807878400).

2122558806840 is an abundant number, since it is smaller than the sum of its proper divisors (4293056949960).

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

2122558806840 is a wasteful number, since it uses less digits than its factorization.

2122558806840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105597 (or 105593 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 51.

The spelling of 2122558806840 in words is "two trillion, one hundred twenty-two billion, five hundred fifty-eight million, eight hundred six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 151 302 453 604 755 906 1123 1208 1510 1812 2246 2265 3020 3369 3624 4492 4530 5615 6040 6738 8984 9060 11230 13476 16845 18120 22460 26952 33690 44920 67380 104309 134760 169573 208618 312927 339146 417236 508719 521545 625854 678292 834472 847865 1017438 1043090 1251708 1356584 1564635 1695730 2034876 2086180 2503416 2543595 3129270 3391460 4069752 4172360 5087190 6258540 6782920 10174380 12517080 15750659 20348760 31501318 47251977 63002636 78753295 94503954 117139007 126005272 157506590 189007908 234278014 236259885 315013180 351417021 378015816 468556028 472519770 585695035 630026360 702834042 937112056 945039540 1171390070 1405668084 1757085105 1890079080 2342780140 2811336168 3514170210 4685560280 7028340420 14056680840 17687990057 35375980114 53063970171 70751960228 88439950285 106127940342 141503920456 176879900570 212255880684 265319850855 353759801140 424511761368 530639701710 707519602280 1061279403420 2122558806840