Search a number
-
+
266652256662 = 233111953445789
BaseRepresentation
bin1111100001010110110…
…1101000100110010110
3221111021110021010212000
43320111231220212112
513332100434203122
6322255351140130
725156614533001
oct3702555504626
9844243233760
10266652256662
11a30a527a140
1243819374646
131c1b70092bc
14cc98250538
156e09c010ac
hex3e15b68996

266652256662 has 128 divisors (see below), whose sum is σ = 693292608000. Its totient is φ = 75106362240.

The previous prime is 266652256601. The next prime is 266652256667.

266652256662 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2666522566622 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 266652256599 and 266652256608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (266652256667) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 375264 + ... + 821052.

It is an arithmetic number, because the mean of its divisors is an integer number (5416348500).

Almost surely, 2266652256662 is an apocalyptic number.

266652256662 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 266652256662, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346646304000).

266652256662 is an abundant number, since it is smaller than the sum of its proper divisors (426640351338).

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

266652256662 is a wasteful number, since it uses less digits than its factorization.

266652256662 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445883 (or 445877 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 54.

The spelling of 266652256662 in words is "two hundred sixty-six billion, six hundred fifty-two million, two hundred fifty-six thousand, six hundred sixty-two".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 53 54 57 66 99 106 114 159 171 198 209 297 318 342 418 477 513 583 594 627 954 1007 1026 1166 1254 1431 1749 1881 2014 2862 3021 3498 3762 5247 5643 6042 9063 10494 11077 11286 15741 18126 22154 27189 31482 33231 54378 66462 99693 199386 299079 445789 598158 891578 1337367 2674734 4012101 4903679 8024202 8469991 9807358 12036303 14711037 16939982 23626817 24072606 25409973 29422074 44133111 47253634 50819946 70880451 76229919 88266222 93169901 132399333 141760902 152459838 186339802 212641353 228689757 259894987 264798666 279509703 425282706 448909523 457379514 519789974 559019406 637924059 779684961 838529109 897819046 1275848118 1346728569 1559369922 1677058218 2339054883 2515587327 2693457138 4040185707 4678109766 4938004753 5031174654 7017164649 8080371414 9876009506 12120557121 14034329298 14814014259 24241114242 29628028518 44442042777 88884085554 133326128331 266652256662