Search a number
-
+
108653208710536 = 23722366611809211
BaseRepresentation
bin11000101101000111001011…
…111010001010110110001000
3112020201010220221010112122001
4120231013023322022312020
5103220133232412214121
61023030332304240344
731612635541451500
oct3055071372126610
9466633827115561
10108653208710536
1131690626808746
12102298779100b4
134881c521357b9
141cb8bb427aa00
15c864bc9b6991
hex62d1cbe8ad88

108653208710536 has 96 divisors (see below), whose sum is σ = 247326951458880. Its totient is φ = 44534355465600.

The previous prime is 108653208710531. The next prime is 108653208710591. The reversal of 108653208710536 is 635017802356801.

108653208710536 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1086532087105362 (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (108653208710531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59150971 + ... + 60960181.

It is an arithmetic number, because the mean of its divisors is an integer number (2576322411030).

Almost surely, 2108653208710536 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 108653208710536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123663475729440).

108653208710536 is an abundant number, since it is smaller than the sum of its proper divisors (138673742748344).

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

108653208710536 is a wasteful number, since it uses less digits than its factorization.

108653208710536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1815915 (or 1815904 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 55.

The spelling of 108653208710536 in words is "one hundred eight trillion, six hundred fifty-three billion, two hundred eight million, seven hundred ten thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 23 28 46 49 56 92 98 161 184 196 322 392 644 1127 1288 2254 4508 6661 9016 13322 26644 46627 53288 93254 153203 186508 306406 326389 373016 612812 652778 1072421 1225624 1305556 1809211 2144842 2611112 3618422 4289684 7236844 7506947 8579368 12664477 14473688 15013894 25328954 30027788 41611853 50657908 60055576 83223706 88651339 101315816 166447412 177302678 291282971 332894824 354605356 582565942 709210712 1165131884 2038980797 2330263768 4077961594 8155923188 12051154471 16311846376 24102308942 48204617884 84358081297 96409235768 168716162594 277176552833 337432325188 554353105666 590506569079 674864650376 1108706211332 1181013138158 1940235869831 2217412422664 2362026276316 3880471739662 4724052552632 7760943479324 13581651088817 15521886958648 27163302177634 54326604355268 108653208710536