Search a number
-
+
122623405088 = 2510326012
BaseRepresentation
bin111001000110011101…
…1001010110000100000
3102201111211120101201212
41302030323022300200
54002113042430323
6132155445045252
711600502513512
oct1621473126040
9381454511655
10122623405088
11480057961a8
121b9223b6828
13b742863582
145d1391bbb2
1532ca45ab78
hex1c8cecac20

122623405088 has 54 divisors (see below), whose sum is σ = 244187718957. Its totient is φ = 60615417600.

The previous prime is 122623405067. The next prime is 122623405111. The reversal of 122623405088 is 880504326221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 106205595664 + 16417809424 = 325892^2 + 128132^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=247612.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 204031988 + ... + 204032588.

Almost surely, 2122623405088 is an apocalyptic number.

It is an amenable number.

122623405088 is a deficient number, since it is larger than the sum of its proper divisors (121564313869).

122623405088 is an frugal number, since it uses more digits than its factorization.

122623405088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 41.

The spelling of 122623405088 in words is "one hundred twenty-two billion, six hundred twenty-three million, four hundred five thousand, eighty-eight".

Divisors: 1 2 4 8 16 32 103 206 412 601 824 1202 1648 2404 3296 4808 9616 10609 19232 21218 42436 61903 84872 123806 169744 247612 339488 361201 495224 722402 990448 1444804 1980896 2889608 5779216 6376009 11558432 12752018 25504036 37203703 51008072 74407406 102016144 148814812 204032288 297629624 595259248 1190518496 3831981409 7663962818 15327925636 30655851272 61311702544 122623405088