Search a number
-
+
11159014512 = 2432312779589
BaseRepresentation
bin10100110010010000…
…10000110001110000
31001210200122200010210
422121020100301300
5140323201431022
65043144224120
7543350026002
oct123110206160
931720580123
1011159014512
114806a77848
1221b516b040
13108ab61689
1477c064372
154549eea0c
hex299210c70

11159014512 has 80 divisors (see below), whose sum is σ = 30318059520. Its totient is φ = 3529886976.

The previous prime is 11159014483. The next prime is 11159014513. The reversal of 11159014512 is 21541095111.

It is a self number, because there is not a number n which added to its sum of digits gives 11159014512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11159014513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100414 + ... + 180002.

It is an arithmetic number, because the mean of its divisors is an integer number (378975744).

Almost surely, 211159014512 is an apocalyptic number.

11159014512 is a gapful number since it is divisible by the number (12) 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 11159014512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15159029760).

11159014512 is an abundant number, since it is smaller than the sum of its proper divisors (19159045008).

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

11159014512 is a wasteful number, since it uses less digits than its factorization.

11159014512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79750 (or 79744 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 30.

The spelling of 11159014512 in words is "eleven billion, one hundred fifty-nine million, fourteen thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 127 138 184 254 276 368 381 508 552 762 1016 1104 1524 2032 2921 3048 5842 6096 8763 11684 17526 23368 35052 46736 70104 79589 140208 159178 238767 318356 477534 636712 955068 1273424 1830547 1910136 3661094 3820272 5491641 7322188 10107803 10983282 14644376 20215606 21966564 29288752 30323409 40431212 43933128 60646818 80862424 87866256 121293636 161724848 232479469 242587272 464958938 485174544 697438407 929917876 1394876814 1859835752 2789753628 3719671504 5579507256 11159014512