Search a number
-
+
10270062264 = 23371112743759
BaseRepresentation
bin10011001000010010…
…01011011010111000
3222111201221012220110
421210021023122320
5132013113443024
64415031024320
7512334042330
oct114411133270
928451835813
1010270062264
1143a0200870
121ba750b0a0
13c78935727
146d5d820c0
15401956629
hex26424b6b8

10270062264 has 128 divisors (see below), whose sum is σ = 32263372800. Its totient is φ = 2646483840.

The previous prime is 10270062263. The next prime is 10270062269. The reversal of 10270062264 is 46226007201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10270062263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212817 + ... + 256575.

It is an arithmetic number, because the mean of its divisors is an integer number (252057600).

Almost surely, 210270062264 is an apocalyptic number.

10270062264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10270062264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16131686400).

10270062264 is an abundant number, since it is smaller than the sum of its proper divisors (21993310536).

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

10270062264 is a wasteful number, since it uses less digits than its factorization.

10270062264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43913 (or 43909 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

Adding to 10270062264 its reverse (46226007201), we get a palindrome (56496069465).

The spelling of 10270062264 in words is "ten billion, two hundred seventy million, sixty-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 127 132 154 168 231 254 264 308 381 462 508 616 762 889 924 1016 1397 1524 1778 1848 2667 2794 3048 3556 4191 5334 5588 7112 8382 9779 10668 11176 16764 19558 21336 29337 33528 39116 43759 58674 78232 87518 117348 131277 175036 234696 262554 306313 350072 481349 525108 612626 918939 962698 1050216 1225252 1444047 1837878 1925396 2450504 2888094 3369443 3675756 3850792 5557393 5776188 6738886 7351512 10108329 11114786 11552376 13477772 16672179 20216658 22229572 26955544 33344358 38901751 40433316 44459144 61131323 66688716 77803502 80866632 116705253 122262646 133377432 155607004 183393969 233410506 244525292 311214008 366787938 427919261 466821012 489050584 733575876 855838522 933642024 1283757783 1467151752 1711677044 2567515566 3423354088 5135031132 10270062264