Search a number
-
+
104824679480670 = 235173110165646307
BaseRepresentation
bin10111110101011001100101…
…110010001011110101011110
3111202011010211010221111011010
4113311121211302023311132
5102214421420421340140
61010535443140040050
731036222164111162
oct2765314562136536
9452133733844133
10104824679480670
113044499587a656
12b90b885093026
134664c03bc0b36
141bc5782068ca2
15c1bae552a880
hex5f5665c8bd5e

104824679480670 has 128 divisors (see below), whose sum is σ = 277693335908352. Its totient is φ = 25208181504000.

The previous prime is 104824679480669. The next prime is 104824679480671. The reversal of 104824679480670 is 76084976428401.

It is an interprime number because it is at equal distance from previous prime (104824679480669) and next prime (104824679480671).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104824679480671) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31226344 + ... + 34419963.

It is an arithmetic number, because the mean of its divisors is an integer number (2169479186784).

Almost surely, 2104824679480670 is an apocalyptic number.

104824679480670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

104824679480670 is an abundant number, since it is smaller than the sum of its proper divisors (172868656427682).

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

104824679480670 is a wasteful number, since it uses less digits than its factorization.

104824679480670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65646466.

The product of its (nonzero) digits is 130056192, while the sum is 66.

The spelling of 104824679480670 in words is "one hundred four trillion, eight hundred twenty-four billion, six hundred seventy-nine million, four hundred eighty thousand, six hundred seventy".

Divisors: 1 2 3 5 6 10 15 17 30 31 34 51 62 85 93 101 102 155 170 186 202 255 303 310 465 505 510 527 606 930 1010 1054 1515 1581 1717 2635 3030 3131 3162 3434 5151 5270 6262 7905 8585 9393 10302 15655 15810 17170 18786 25755 31310 46965 51510 53227 93930 106454 159681 266135 319362 532270 798405 1596810 65646307 131292614 196938921 328231535 393877842 656463070 984694605 1115987219 1969389210 2035035517 2231974438 3347961657 4070071034 5579936095 6105106551 6630277007 6695923314 10175177585 11159872190 12210213102 13260554014 16739808285 19890831021 20350355170 30525532755 33151385035 33479616570 34595603789 39781662042 61051065510 66302770070 69191207578 99454155105 103786811367 112714709119 172978018945 198908310210 205538587217 207573622734 225429418238 338144127357 345956037890 411077174434 518934056835 563573545595 616615761651 676288254714 1027692936085 1037868113670 1127147091190 1233231523302 1690720636785 2055385872170 3083078808255 3381441273570 3494155982689 6166157616510 6988311965378 10482467948067 17470779913445 20964935896134 34941559826890 52412339740335 104824679480670