Search a number
-
+
10715220990 = 2325319833907
BaseRepresentation
bin10011111101010110…
…10100101111111110
31000122202120121212200
421332223110233332
5133421044032430
64531132212330
7526350606225
oct117653245776
930582517780
1010715220990
1145a9510141
1220b060a0a6
131019c28966
1473913dcbc
1542aa8a460
hex27ead4bfe

10715220990 has 96 divisors (see below), whose sum is σ = 28794894336. Its totient is φ = 2761698240.

The previous prime is 10715220947. The next prime is 10715221037. The reversal of 10715220990 is 9902251701.

It is a super-2 number, since 2×107152209902 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2740617 + ... + 2744523.

It is an arithmetic number, because the mean of its divisors is an integer number (299946816).

Almost surely, 210715220990 is an apocalyptic number.

10715220990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10715220990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14397447168).

10715220990 is an abundant number, since it is smaller than the sum of its proper divisors (18079673346).

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

10715220990 is a wasteful number, since it uses less digits than its factorization.

10715220990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4934 (or 4931 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The spelling of 10715220990 in words is "ten billion, seven hundred fifteen million, two hundred twenty thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 983 1395 1966 2790 2949 3907 4915 5898 7814 8847 9830 11721 14745 17694 19535 23442 29490 30473 35163 39070 44235 58605 60946 70326 88470 91419 117210 121117 152365 175815 182838 242234 274257 304730 351630 363351 457095 548514 605585 726702 914190 1090053 1211170 1371285 1816755 2180106 2742570 3633510 3840581 5450265 7681162 10900530 11521743 19202905 23043486 34565229 38405810 57608715 69130458 115217430 119058011 172826145 238116022 345652290 357174033 595290055 714348066 1071522099 1190580110 1785870165 2143044198 3571740330 5357610495 10715220990