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26302620344 = 237111331105953
BaseRepresentation
bin11000011111110000…
…100010001010111000
32111220002000112222212
4120133300202022320
5412331432322334
620025552234252
71620542404220
oct303760421270
974802015885
1026302620344
1110178163a70
12512083b988
13263237b0a0
1413b738b080
15a3e22dece
hex61fc222b8

26302620344 has 128 divisors (see below), whose sum is σ = 68353044480. Its totient is φ = 9154252800.

The previous prime is 26302620307. The next prime is 26302620349. The reversal of 26302620344 is 44302620362.

It is a self number, because there is not a number n which added to its sum of digits gives 26302620344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26302620349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195272 + ... + 301224.

It is an arithmetic number, because the mean of its divisors is an integer number (534008160).

Almost surely, 226302620344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26302620344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34176522240).

26302620344 is an abundant number, since it is smaller than the sum of its proper divisors (42050424136).

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

26302620344 is a wasteful number, since it uses less digits than its factorization.

26302620344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106021 (or 106017 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

It can be divided in two parts, 26302 and 620344, that added together give a palindrome (646646).

The spelling of 26302620344 in words is "twenty-six billion, three hundred two million, six hundred twenty thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 31 44 52 56 62 77 88 91 104 124 143 154 182 217 248 286 308 341 364 403 434 572 616 682 728 806 868 1001 1144 1364 1612 1736 2002 2387 2728 2821 3224 4004 4433 4774 5642 8008 8866 9548 11284 17732 19096 22568 31031 35464 62062 105953 124124 211906 248248 423812 741671 847624 1165483 1377389 1483342 2330966 2754778 2966684 3284543 4661932 5509556 5933368 6569086 8158381 9323864 9641723 11019112 13138172 15151279 16316762 19283446 22991801 26276344 30302558 32633524 36129973 38566892 42699059 45983602 60605116 65267048 72259946 77133784 85398118 91967204 106058953 121210232 144519892 170796236 183934408 212117906 252909811 289039784 298893413 341592472 424235812 469689649 505819622 597786826 848471624 939379298 1011639244 1195573652 1878758596 2023278488 2391147304 3287827543 3757517192 6575655086 13151310172 26302620344