Search a number
-
+
11172836520 = 2333514969431
BaseRepresentation
bin10100110011111001…
…11111010010101000
31001211122122220101000
422121330333102220
5140340221232040
65044400355000
7543605354256
oct123174772250
931748586330
1011172836520
11481385849a
1221b9915a60
131090990a91
1477dc215d6
15455d30130
hex299f3f4a8

11172836520 has 128 divisors (see below), whose sum is σ = 37493280000. Its totient is φ = 2959384320.

The previous prime is 11172836503. The next prime is 11172836533. The reversal of 11172836520 is 2563827111.

It is a super-3 number, since 3×111728365203 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 126205 + ... + 195635.

It is an arithmetic number, because the mean of its divisors is an integer number (292916250).

Almost surely, 211172836520 is an apocalyptic number.

11172836520 is a gapful number since it is divisible by the number (10) 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 11172836520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18746640000).

11172836520 is an abundant number, since it is smaller than the sum of its proper divisors (26320443480).

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

11172836520 is a wasteful number, since it uses less digits than its factorization.

11172836520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69600 (or 69590 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 11172836520 in words is "eleven billion, one hundred seventy-two million, eight hundred thirty-six thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 149 180 216 270 298 360 447 540 596 745 894 1080 1192 1341 1490 1788 2235 2682 2980 3576 4023 4470 5364 5960 6705 8046 8940 10728 13410 16092 17880 20115 26820 32184 40230 53640 69431 80460 138862 160920 208293 277724 347155 416586 555448 624879 694310 833172 1041465 1249758 1388620 1666344 1874637 2082930 2499516 2777240 3124395 3749274 4165860 4999032 6248790 7498548 8331720 9373185 10345219 12497580 14997096 18746370 20690438 24995160 31035657 37492740 41380876 51726095 62071314 74985480 82761752 93106971 103452190 124142628 155178285 186213942 206904380 248285256 279320913 310356570 372427884 413808760 465534855 558641826 620713140 744855768 931069710 1117283652 1241426280 1396604565 1862139420 2234567304 2793209130 3724278840 5586418260 11172836520