Search a number
-
+
10855510008 = 23371923147863
BaseRepresentation
bin10100001110000100…
…11110111111111000
31001000112120001020020
422013002132333320
5134213002310013
64553103130440
7533003212140
oct120702367770
931015501206
1010855510008
11467071a382
12212b5a3a20
131040007705
1474da1b920
1543804c623
hex28709eff8

10855510008 has 128 divisors (see below), whose sum is σ = 34067865600. Its totient is φ = 2810560896.

The previous prime is 10855509947. The next prime is 10855510013. The reversal of 10855510008 is 80001555801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 516 + ... + 147347.

It is an arithmetic number, because the mean of its divisors is an integer number (266155200).

Almost surely, 210855510008 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 10855510008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17033932800).

10855510008 is an abundant number, since it is smaller than the sum of its proper divisors (23212355592).

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

10855510008 is a wasteful number, since it uses less digits than its factorization.

10855510008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147921 (or 147917 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 33.

The spelling of 10855510008 in words is "ten billion, eight hundred fifty-five million, five hundred ten thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 23 24 28 38 42 46 56 57 69 76 84 92 114 133 138 152 161 168 184 228 266 276 322 399 437 456 483 532 552 644 798 874 966 1064 1288 1311 1596 1748 1932 2622 3059 3192 3496 3864 5244 6118 9177 10488 12236 18354 24472 36708 73416 147863 295726 443589 591452 887178 1035041 1182904 1774356 2070082 2809397 3105123 3400849 3548712 4140164 5618794 6210246 6801698 8280328 8428191 10202547 11237588 12420492 13603396 16856382 19665779 20405094 22475176 23805943 24840984 27206792 33712764 39331558 40810188 47611886 58997337 64616131 67425528 71417829 78663116 81620376 95223772 117994674 129232262 142835658 157326232 190447544 193848393 235989348 258464524 285671316 387696786 452312917 471978696 516929048 571342632 775393572 904625834 1356938751 1550787144 1809251668 2713877502 3618503336 5427755004 10855510008