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5068567400 = 2352132418089
BaseRepresentation
bin1001011100001110…
…00011001101101000
3111002020101220100112
410232013003031220
540340023124100
62154540553452
7236414053301
oct45607031550
914066356315
105068567400
11217108a786
12b95552888
1362a118310
1436122d7a8
151e9e9cb35
hex12e1c3368

5068567400 has 96 divisors (see below), whose sum is σ = 12745147800. Its totient is φ = 1863475200.

The previous prime is 5068567397. The next prime is 5068567403. The reversal of 5068567400 is 47658605.

It is an interprime number because it is at equal distance from previous prime (5068567397) and next prime (5068567403).

It can be written as a sum of positive squares in 12 ways, for example, as 113252164 + 4955315236 = 10642^2 + 70394^2 .

It is not an unprimeable number, because it can be changed into a prime (5068567403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 622556 + ... + 630644.

Almost surely, 25068567400 is an apocalyptic number.

5068567400 is a gapful number since it is divisible by the number (50) 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 5068567400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6372573900).

5068567400 is an abundant number, since it is smaller than the sum of its proper divisors (7676580400).

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

5068567400 is a wasteful number, since it uses less digits than its factorization.

5068567400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8359 (or 8350 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 41.

The square root of 5068567400 is about 71193.8719272944. The cubic root of 5068567400 is about 1717.7570592711.

The spelling of 5068567400 in words is "five billion, sixty-eight million, five hundred sixty-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 241 260 325 482 520 650 964 1205 1300 1928 2410 2600 3133 4820 6025 6266 8089 9640 12050 12532 15665 16178 24100 25064 31330 32356 40445 48200 62660 64712 78325 80890 105157 125320 156650 161780 202225 210314 313300 323560 404450 420628 525785 626600 808900 841256 1051570 1617800 1949449 2103140 2628925 3898898 4206280 5257850 7797796 9747245 10515700 15595592 19494490 21031400 25342837 38988980 48736225 50685674 77977960 97472450 101371348 126714185 194944900 202742696 253428370 389889800 506856740 633570925 1013713480 1267141850 2534283700 5068567400