Search a number
-
+
2563028300040 = 2335131642966859
BaseRepresentation
bin100101010011000000011…
…001000011000100001000
3100002000121211220221122120
4211103000121003010020
5313443040221100130
65241234451251240
7353113142043255
oct45230031030410
910060554827576
102563028300040
118a8a79725a4a
12354894ba9b20
13157900651b30
148c0a081842c
1546a0c147910
hex254c0643108

2563028300040 has 64 divisors (see below), whose sum is σ = 8280552974400. Its totient is φ = 630899273472.

The previous prime is 2563028299973. The next prime is 2563028300057. The reversal of 2563028300040 is 400038203652.

It is a happy number.

It is a super-2 number, since 2×25630283000402 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2563028299974 and 2563028300010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 821481870 + ... + 821484989.

It is an arithmetic number, because the mean of its divisors is an integer number (129383640225).

Almost surely, 22563028300040 is an apocalyptic number.

2563028300040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2563028300040 is an abundant number, since it is smaller than the sum of its proper divisors (5717524674360).

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

2563028300040 is a wasteful number, since it uses less digits than its factorization.

2563028300040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642966886 (or 1642966882 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 2563028300040 in words is "two trillion, five hundred sixty-three billion, twenty-eight million, three hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 1642966859 3285933718 4928900577 6571867436 8214834295 9857801154 13143734872 16429668590 19715602308 21358569167 24644502885 32859337180 39431204616 42717138334 49289005770 64075707501 65718674360 85434276668 98578011540 106792845835 128151415002 170868553336 197156023080 213585691670 256302830004 320378537505 427171383340 512605660008 640757075010 854342766680 1281514150020 2563028300040