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1069624138180 = 2251336097113969
BaseRepresentation
bin11111001000010101001…
…00010001100111000100
310210020212221112002212111
433210022210101213010
5120011042234410210
62135213433230404
7140164166106433
oct17441244214704
93706787462774
101069624138180
11382696a39464
12153372b62404
1379b328a3740
1439aad17d11a
151cc53d8088a
hexf90a9119c4

1069624138180 has 48 divisors (see below), whose sum is σ = 2419084367280. Its totient is φ = 394923737088.

The previous prime is 1069624138171. The next prime is 1069624138181. The reversal of 1069624138180 is 818314269601.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 15170356224 + 1054453781956 = 123168^2 + 1026866^2 .

It is a super-2 number, since 2×10696241381802 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1069624138181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9328236 + ... + 9442204.

It is an arithmetic number, because the mean of its divisors is an integer number (50397590985).

Almost surely, 21069624138180 is an apocalyptic number.

1069624138180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1069624138180 is an abundant number, since it is smaller than the sum of its proper divisors (1349460229100).

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

1069624138180 is a wasteful number, since it uses less digits than its factorization.

1069624138180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150088 (or 150086 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 49.

The spelling of 1069624138180 in words is "one trillion, sixty-nine billion, six hundred twenty-four million, one hundred thirty-eight thousand, one hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 36097 72194 113969 144388 180485 227938 360970 455876 469261 569845 721940 938522 1139690 1481597 1877044 2279380 2346305 2963194 4692610 5926388 7407985 9385220 14815970 29631940 4113938993 8227877986 16455755972 20569694965 41139389930 53481206909 82278779860 106962413818 213924827636 267406034545 534812069090 1069624138180