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2122053462564 = 2237105124036671
BaseRepresentation
bin11110111000010100001…
…111100010101000100100
321111212101112222011112120
4132320110033202220210
5234231431141300224
64302505150145540
7306212314550550
oct36702417425044
97455345864476
102122053462564
11748a59948802
122a33274b22b0
13125154cc4239
14749ca80a860
153a2ed3a6779
hex1ee143e2a24

2122053462564 has 48 divisors (see below), whose sum is σ = 5664193683456. Its totient is φ = 605724084000.

The previous prime is 2122053462563. The next prime is 2122053462569. The reversal of 2122053462564 is 4652643502212.

It is a super-2 number, since 2×21220534625642 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2122053462563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11930052 + ... + 12106619.

It is an arithmetic number, because the mean of its divisors is an integer number (118004035072).

Almost surely, 22122053462564 is an apocalyptic number.

It is an amenable number.

2122053462564 is an abundant number, since it is smaller than the sum of its proper divisors (3542140220892).

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

2122053462564 is a wasteful number, since it uses less digits than its factorization.

2122053462564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24037736 (or 24037734 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

Adding to 2122053462564 its reverse (4652643502212), we get a palindrome (6774696964776).

The spelling of 2122053462564 in words is "two trillion, one hundred twenty-two billion, fifty-three million, four hundred sixty-two thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 1051 2102 3153 4204 6306 7357 12612 14714 22071 29428 44142 88284 24036671 48073342 72110013 96146684 144220026 168256697 288440052 336513394 504770091 673026788 1009540182 2019080364 25262541221 50525082442 75787623663 101050164884 151575247326 176837788547 303150494652 353675577094 530513365641 707351154188 1061026731282 2122053462564