Search a number
-
+
26438602752 = 212321937747
BaseRepresentation
bin11000100111110111…
…010001000000000000
32112020112220011210100
4120213313101000000
5413121240242002
620051251002400
71624113262332
oct304767210000
975215804710
1026438602752
11102379a1621
12515a299400
1326545ac853
1413cb467452
15a4b14011c
hex627dd1000

26438602752 has 156 divisors (see below), whose sum is σ = 80390405680. Its totient is φ = 8348811264.

The previous prime is 26438602739. The next prime is 26438602889. The reversal of 26438602752 is 25720683462.

26438602752 is a `hidden beast` number, since 2 + 6 + 4 + 38 + 602 + 7 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 26438602698 and 26438602707.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 681543 + ... + 719289.

Almost surely, 226438602752 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 26438602752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40195202840).

26438602752 is an abundant number, since it is smaller than the sum of its proper divisors (53951802928).

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

26438602752 is a wasteful number, since it uses less digits than its factorization.

26438602752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37796 (or 37771 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 26438602752 in words is "twenty-six billion, four hundred thirty-eight million, six hundred two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 512 576 608 684 768 912 1024 1152 1216 1368 1536 1824 2048 2304 2432 2736 3072 3648 4096 4608 4864 5472 6144 7296 9216 9728 10944 12288 14592 18432 19456 21888 29184 36864 37747 38912 43776 58368 75494 77824 87552 113241 116736 150988 175104 226482 233472 301976 339723 350208 452964 603952 679446 700416 717193 905928 1207904 1358892 1434386 1811856 2151579 2415808 2717784 2868772 3623712 4303158 4831616 5435568 5737544 6454737 7247424 8606316 9663232 10871136 11475088 12909474 14494848 17212632 19326464 21742272 22950176 25818948 28989696 34425264 38652928 43484544 45900352 51637896 57979392 68850528 77305856 86969088 91800704 103275792 115958784 137701056 154611712 173938176 183601408 206551584 231917568 275402112 347876352 367202816 413103168 463835136 550804224 695752704 734405632 826206336 1101608448 1391505408 1468811264 1652412672 2203216896 2937622528 3304825344 4406433792 6609650688 8812867584 13219301376 26438602752