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20826366288 = 24371331115331
BaseRepresentation
bin10011011001010110…
…010010000101010000
31222202102111000200120
4103121112102011100
5320123022210123
613322325150240
71335045123030
oct233126220520
958672430616
1020826366288
118917a39272
12405285b380
131c6b95c880
141017d558c0
1581d5a02e3
hex4d9592150

20826366288 has 160 divisors (see below), whose sum is σ = 66434414592. Its totient is φ = 5474649600.

The previous prime is 20826366283. The next prime is 20826366331. The reversal of 20826366288 is 88266362802.

It is a self number, because there is not a number n which added to its sum of digits gives 20826366288.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20826366283) 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, 1350783 + ... + 1366113.

Almost surely, 220826366288 is an apocalyptic number.

20826366288 is a gapful number since it is divisible by the number (28) 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 20826366288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33217207296).

20826366288 is an abundant number, since it is smaller than the sum of its proper divisors (45608048304).

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

20826366288 is a wasteful number, since it uses less digits than its factorization.

20826366288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15673 (or 15667 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 51.

The spelling of 20826366288 in words is "twenty billion, eight hundred twenty-six million, three hundred sixty-six thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 311 312 336 364 546 622 624 728 933 1092 1244 1456 1866 2177 2184 2488 3732 4043 4354 4368 4976 6531 7464 8086 8708 12129 13062 14928 15331 16172 17416 24258 26124 28301 30662 32344 34832 45993 48516 52248 56602 61324 64688 84903 91986 97032 104496 107317 113204 122648 169806 183972 194064 199303 214634 226408 245296 321951 339612 367944 398606 429268 452816 597909 643902 679224 735888 797212 858536 1195818 1287804 1358448 1395121 1594424 1717072 2391636 2575608 2790242 3188848 4185363 4767941 4783272 5151216 5580484 8370726 9535882 9566544 11160968 14303823 16741452 19071764 22321936 28607646 33375587 33482904 38143528 57215292 61983233 66751174 66965808 76287056 100126761 114430584 123966466 133502348 185949699 200253522 228861168 247932932 267004696 371899398 400507044 433882631 495865864 534009392 743798796 801014088 867765262 991731728 1301647893 1487597592 1602028176 1735530524 2603295786 2975195184 3471061048 5206591572 6942122096 10413183144 20826366288