Search a number
-
+
26002020653040 = 24351011072690621
BaseRepresentation
bin1011110100110000100010…
…01101000101011111110000
310102001202202112012212102110
411322120101031011133300
511402004114241344130
6131145055142445320
75322404211553605
oct572302115053760
9112052675185373
1026002020653040
118315438872a83
122abb448133840
131167c9816c603
1465c70c5606ac
1530158b410ab0
hex17a6113457f0

26002020653040 has 80 divisors (see below), whose sum is σ = 81404345922336. Its totient is φ = 6865219968000.

The previous prime is 26002020653017. The next prime is 26002020653131. The reversal of 26002020653040 is 4035602020062.

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

It is a super-2 number, since 2×260020206530402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 26002020652989 and 26002020653007.

It is a congruent number.

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, 536321071 + ... + 536369550.

Almost surely, 226002020653040 is an apocalyptic number.

26002020653040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26002020653040 is an abundant number, since it is smaller than the sum of its proper divisors (55402325269296).

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

26002020653040 is a wasteful number, since it uses less digits than its factorization.

26002020653040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072690738 (or 1072690732 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 26002020653040 in words is "twenty-six trillion, two billion, twenty million, six hundred fifty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 101 120 202 240 303 404 505 606 808 1010 1212 1515 1616 2020 2424 3030 4040 4848 6060 8080 12120 24240 1072690621 2145381242 3218071863 4290762484 5363453105 6436143726 8581524968 10726906210 12872287452 16090359315 17163049936 21453812420 25744574904 32180718630 42907624840 51489149808 64361437260 85815249680 108341752721 128722874520 216683505442 257445749040 325025258163 433367010884 541708763605 650050516326 866734021768 1083417527210 1300101032652 1625126290815 1733468043536 2166835054420 2600202065304 3250252581630 4333670108840 5200404130608 6500505163260 8667340217680 13001010326520 26002020653040