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26122212732 = 223711139203387
BaseRepresentation
bin11000010101000000…
…010101010101111100
32111102111112220021110
4120111000111111330
5411444241301412
620000025402020
71613222100420
oct302500252574
974374486243
1026122212732
1110095343070
125090339310
132603b93815
14139b428b80
15a2d494d3c
hex61501557c

26122212732 has 96 divisors (see below), whose sum is σ = 76538972160. Its totient is φ = 6736144320.

The previous prime is 26122212731. The next prime is 26122212749. The reversal of 26122212732 is 23721222162.

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

It is a self number, because there is not a number n which added to its sum of digits gives 26122212732.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26122212731) 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, 26743 + ... + 230129.

It is an arithmetic number, because the mean of its divisors is an integer number (797280960).

Almost surely, 226122212732 is an apocalyptic number.

26122212732 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26122212732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38269486080).

26122212732 is an abundant number, since it is smaller than the sum of its proper divisors (50416759428).

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

26122212732 is a wasteful number, since it uses less digits than its factorization.

26122212732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203551 (or 203549 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

Adding to 26122212732 its reverse (23721222162), we get a palindrome (49843434894).

The spelling of 26122212732 in words is "twenty-six billion, one hundred twenty-two million, two hundred twelve thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 139 154 231 278 308 417 462 556 834 924 973 1529 1668 1946 2919 3058 3892 4587 5838 6116 9174 10703 11676 18348 21406 32109 42812 64218 128436 203387 406774 610161 813548 1220322 1423709 2237257 2440644 2847418 4271127 4474514 5694836 6711771 8542254 8949028 13423542 15660799 17084508 26847084 28270793 31321598 46982397 56541586 62643196 84812379 93964794 113083172 169624758 187929588 197895551 310978723 339249516 395791102 593686653 621957446 791582204 932936169 1187373306 1243914892 1865872338 2176851061 2374746612 3731744676 4353702122 6530553183 8707404244 13061106366 26122212732