Search a number
-
+
11152015350 = 2352729771553
BaseRepresentation
bin10100110001011011…
…00011111111110110
31001210012111002002120
422120231203333312
5140314403442400
65042334220410
7543233365200
oct123055437766
931705432076
1011152015350
114803027213
1221b2954706
131089580968
1477b161770
154540baca0
hex298b63ff6

11152015350 has 144 divisors (see below), whose sum is σ = 32226093648. Its totient is φ = 2544783360.

The previous prime is 11152015349. The next prime is 11152015379. The reversal of 11152015350 is 5351025111.

It is a self number, because there is not a number n which added to its sum of digits gives 11152015350.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7180174 + ... + 7181726.

It is an arithmetic number, because the mean of its divisors is an integer number (223792317).

Almost surely, 211152015350 is an apocalyptic number.

11152015350 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 11152015350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16113046824).

11152015350 is an abundant number, since it is smaller than the sum of its proper divisors (21074078298).

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

11152015350 is a wasteful number, since it uses less digits than its factorization.

11152015350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2559 (or 2547 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

The spelling of 11152015350 in words is "eleven billion, one hundred fifty-two million, fifteen thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 49 50 70 75 98 105 147 150 175 210 245 294 350 490 525 735 977 1050 1225 1470 1553 1954 2450 2931 3106 3675 4659 4885 5862 6839 7350 7765 9318 9770 10871 13678 14655 15530 20517 21742 23295 24425 29310 32613 34195 38825 41034 46590 47873 48850 54355 65226 68390 73275 76097 77650 95746 102585 108710 116475 143619 146550 152194 163065 170975 205170 228291 232950 239365 271775 287238 326130 341950 380485 456582 478730 512925 543550 718095 760970 815325 1025850 1141455 1196825 1436190 1517281 1630650 1902425 2282910 2393650 3034562 3590475 3804850 4551843 5707275 7180950 7586405 9103686 10620967 11414550 15172810 21241934 22759215 31862901 37932025 45518430 53104835 63725802 74346769 75864050 106209670 113796075 148693538 159314505 223040307 227592150 265524175 318629010 371733845 446080614 531048350 743467690 796572525 1115201535 1593145050 1858669225 2230403070 3717338450 5576007675 11152015350