Search a number
-
+
26001040560 = 2435119848879
BaseRepresentation
bin11000001101110010…
…000110010010110000
32111010001112201022020
4120031302012102300
5411222231244220
615540020311440
71610221124655
oct301562062260
974101481266
1026001040560
1110032a00680
125057842580
1325b4a49201
1413892c5c2c
15a22a0c040
hex60dc864b0

26001040560 has 80 divisors (see below), whose sum is σ = 87930800640. Its totient is φ = 6303281920.

The previous prime is 26001040537. The next prime is 26001040607. The reversal of 26001040560 is 6504010062.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×260010405602 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 26001040560.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4921800 + ... + 4927079.

It is an arithmetic number, because the mean of its divisors is an integer number (1099135008).

Almost surely, 226001040560 is an apocalyptic number.

26001040560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26001040560 is an abundant number, since it is smaller than the sum of its proper divisors (61929760080).

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

26001040560 is a wasteful number, since it uses less digits than its factorization.

26001040560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9848906 (or 9848900 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 26001040560 in words is "twenty-six billion, one million, forty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 9848879 19697758 29546637 39395516 49244395 59093274 78791032 98488790 108337669 118186548 147733185 157582064 196977580 216675338 236373096 295466370 325013007 393955160 433350676 472746192 541688345 590932740 650026014 787910320 866701352 1083376690 1181865480 1300052028 1625065035 1733402704 2166753380 2363730960 2600104056 3250130070 4333506760 5200208112 6500260140 8667013520 13000520280 26001040560