Search a number
-
+
26328161120 = 2551731312241
BaseRepresentation
bin11000100001010001…
…111101101101100000
32111221212002011100112
4120201101331231200
5412410002123440
620032303510452
71621302451142
oct304121755540
974855064315
1026328161120
1110190619148
1251292b8428
132637751481
1413ba918c92
15a415c6965
hex62147db60

26328161120 has 96 divisors (see below), whose sum is σ = 67983826176. Its totient is φ = 9592012800.

The previous prime is 26328161117. The next prime is 26328161161. The reversal of 26328161120 is 2116182362.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 71801 + ... + 240440.

It is an arithmetic number, because the mean of its divisors is an integer number (708164856).

Almost surely, 226328161120 is an apocalyptic number.

26328161120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26328161120 is an abundant number, since it is smaller than the sum of its proper divisors (41655665056).

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

26328161120 is a wasteful number, since it uses less digits than its factorization.

26328161120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312304 (or 312296 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The spelling of 26328161120 in words is "twenty-six billion, three hundred twenty-eight million, one hundred sixty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 31 32 34 40 62 68 80 85 124 136 155 160 170 248 272 310 340 496 527 544 620 680 992 1054 1240 1360 2108 2480 2635 2720 4216 4960 5270 8432 10540 16864 21080 42160 84320 312241 624482 1248964 1561205 2497928 3122410 4995856 5308097 6244820 9679471 9991712 10616194 12489640 19358942 21232388 24979280 26540485 38717884 42464776 48397355 49958560 53080970 77435768 84929552 96794710 106161940 154871536 164551007 169859104 193589420 212323880 309743072 329102014 387178840 424647760 658204028 774357680 822755035 849295520 1316408056 1548715360 1645510070 2632816112 3291020140 5265632224 6582040280 13164080560 26328161120