Search a number
-
+
104920523685825 = 35217329375136749
BaseRepresentation
bin10111110110110010110110…
…100010110011111111000001
3111202111022012200201120121020
4113312302312202303333001
5102223004213030421300
61011051453450020053
731046154246316551
oct2766626642637701
9452438180646536
10104920523685825
11304815a9391561
12b926373117629
134670c69731473
141bca2751bd161
15c1e3549b88a0
hex5f6cb68b3fc1

104920523685825 has 96 divisors (see below), whose sum is σ = 175304654784000. Its totient is φ = 55368946560000.

The previous prime is 104920523685701. The next prime is 104920523685833. The reversal of 104920523685825 is 528586325029401.

It is a de Polignac number, because none of the positive numbers 2k-104920523685825 is a prime.

It is a super-2 number, since 2×1049205236858252 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2855039551 + ... + 2855076299.

It is an arithmetic number, because the mean of its divisors is an integer number (1826090154000).

Almost surely, 2104920523685825 is an apocalyptic number.

104920523685825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

104920523685825 is a deficient number, since it is larger than the sum of its proper divisors (70384131098175).

104920523685825 is a wasteful number, since it uses less digits than its factorization.

104920523685825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37979 (or 37974 counting only the distinct ones).

The product of its (nonzero) digits is 41472000, while the sum is 60.

The spelling of 104920523685825 in words is "one hundred four trillion, nine hundred twenty billion, five hundred twenty-three million, six hundred eighty-five thousand, eight hundred twenty-five".

Divisors: 1 3 5 15 25 75 173 293 519 751 865 879 1465 2253 2595 3755 4325 4395 7325 11265 12975 18775 21975 36749 50689 56325 110247 129923 152067 183745 220043 253445 389769 551235 649615 660129 760335 918725 1100215 1267225 1948845 2756175 3248075 3300645 3801675 5501075 6357577 9744225 10767457 16503225 19072731 27598499 31787885 32302371 38067439 53837285 82795497 95363655 114202317 137992495 158939425 161511855 190337195 269186425 413977485 476818275 571011585 689962475 807559275 951685975 1862770061 2069887425 2855057925 4774540327 5588310183 8086360207 9313850305 14323620981 23872701635 24259080621 27941550915 40431801035 46569251525 71618104905 119363508175 121295403105 139707754575 202159005175 358090524525 606477015525 1398940315811 4196820947433 6994701579055 20984104737165 34973507895275 104920523685825