Search a number
-
+
26210430116310 = 23511891794985597
BaseRepresentation
bin1011111010110100101110…
…11000000110000111010110
310102210200200221101112211110
411331122113120012013112
511413412430102210220
6131424523320515450
75343432615015336
oct575322730060726
9112720627345743
1026210430116310
118395865550420
122b3391001bb86
13118182c7a764b
1466883d4550c6
15306bd7cb2be0
hex17d6976061d6

26210430116310 has 128 divisors (see below), whose sum is σ = 69782418086400. Its totient is φ = 6247550059520.

The previous prime is 26210430116303. The next prime is 26210430116327. The reversal of 26210430116310 is 1361103401262.

It is a super-2 number, since 2×262104301163102 (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2764432 + ... + 7750028.

It is an arithmetic number, because the mean of its divisors is an integer number (545175141300).

Almost surely, 226210430116310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26210430116310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34891209043200).

26210430116310 is an abundant number, since it is smaller than the sum of its proper divisors (43571987970090).

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

26210430116310 is a wasteful number, since it uses less digits than its factorization.

26210430116310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4985886.

The product of its (nonzero) digits is 5184, while the sum is 30.

Adding to 26210430116310 its reverse (1361103401262), we get a palindrome (27571533517572).

The spelling of 26210430116310 in words is "twenty-six trillion, two hundred ten billion, four hundred thirty million, one hundred sixteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 89 110 165 178 179 267 330 358 445 534 537 890 895 979 1074 1335 1790 1958 1969 2670 2685 2937 3938 4895 5370 5874 5907 9790 9845 11814 14685 15931 19690 29370 29535 31862 47793 59070 79655 95586 159310 175241 238965 350482 477930 525723 876205 1051446 1752410 2628615 4985597 5257230 9971194 14956791 24927985 29913582 49855970 54841567 74783955 109683134 149567910 164524701 274207835 329049402 443718133 548415670 822623505 887436266 892421863 1331154399 1645247010 1784843726 2218590665 2662308798 2677265589 4437181330 4462109315 4880899463 5354531178 6655771995 8924218630 9761798926 9816640493 13311543990 13386327945 14642698389 19633280986 24404497315 26772655890 29285396778 29449921479 48808994630 49083202465 58899842958 73213491945 79425545807 98166404930 146426983890 147249607395 158851091614 238276637421 294499214790 397127729035 476553274842 794255458070 873681003877 1191383187105 1747362007754 2382766374210 2621043011631 4368405019385 5242086023262 8736810038770 13105215058155 26210430116310