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26223432432 = 2435335329201
BaseRepresentation
bin11000011011000010…
…011101001011110000
32111200120000101121020
4120123002131023300
5412201144314212
620014043055440
71615561332531
oct303302351360
974616011536
1026223432432
1110137497a0a
1250ba211580
13261bb43532
1413aaa56688
15a372dad8c
hex61b09d2f0

26223432432 has 80 divisors (see below), whose sum is σ = 69219953568. Its totient is φ = 8551628800.

The previous prime is 26223432421. The next prime is 26223432461. The reversal of 26223432432 is 23423432262.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 26223432393 and 26223432402.

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, 883432 + ... + 912632.

Almost surely, 226223432432 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 26223432432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34609976784).

26223432432 is an abundant number, since it is smaller than the sum of its proper divisors (42996521136).

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

26223432432 is a wasteful number, since it uses less digits than its factorization.

26223432432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29618 (or 29612 counting only the distinct ones).

The product of its digits is 82944, while the sum is 33.

Adding to 26223432432 its reverse (23423432262), we get a palindrome (49646864694).

The spelling of 26223432432 in words is "twenty-six billion, two hundred twenty-three million, four hundred thirty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 318 353 424 636 706 848 1059 1272 1412 2118 2544 2824 4236 5648 8472 16944 18709 29201 37418 56127 58402 74836 87603 112254 116804 149672 175206 224508 233608 299344 350412 449016 467216 700824 898032 1401648 1547653 3095306 4642959 6190612 9285918 10307953 12381224 18571836 20615906 24762448 30923859 37143672 41231812 61847718 74287344 82463624 123695436 164927248 247390872 494781744 546321509 1092643018 1638964527 2185286036 3277929054 4370572072 6555858108 8741144144 13111716216 26223432432