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11532144520 = 23513671911733
BaseRepresentation
bin10101011110101111…
…01000111110001000
31002202200202122021201
422233113220332020
5142104212111040
65144153513544
7555530416411
oct125727507610
932680678251
1011532144520
11498865a956
12229a1128b4
13111a255870
147b5832808
15477656a9a
hex2af5e8f88

11532144520 has 128 divisors (see below), whose sum is σ = 28525271040. Its totient is φ = 4170101760.

The previous prime is 11532144517. The next prime is 11532144521. The reversal of 11532144520 is 2544123511.

It is not an unprimeable number, because it can be changed into a prime (11532144521) by changing a digit.

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, 6653574 + ... + 6655306.

It is an arithmetic number, because the mean of its divisors is an integer number (222853680).

Almost surely, 211532144520 is an apocalyptic number.

11532144520 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 11532144520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14262635520).

11532144520 is an abundant number, since it is smaller than the sum of its proper divisors (16993126520).

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

11532144520 is a wasteful number, since it uses less digits than its factorization.

11532144520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2015 (or 2011 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The spelling of 11532144520 in words is "eleven billion, five hundred thirty-two million, one hundred forty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 67 104 130 134 191 260 268 335 382 520 536 670 764 871 955 1340 1528 1733 1742 1910 2483 2680 3466 3484 3820 4355 4966 6932 6968 7640 8665 8710 9932 12415 12797 13864 17330 17420 19864 22529 24830 25594 34660 34840 45058 49660 51188 63985 69320 90116 99320 102376 112645 116111 127970 166361 180232 225290 232222 255940 331003 332722 450580 464444 511880 580555 662006 665444 831805 901160 928888 1161110 1324012 1330888 1509443 1655015 1663610 2322220 2648024 3018886 3310030 3327220 4303039 4644440 6037772 6620060 6654440 7547215 8606078 12075544 13240120 15094430 17212156 21515195 22177201 30188860 34424312 43030390 44354402 60377720 86060780 88708804 110886005 172121560 177417608 221772010 288303613 443544020 576607226 887088040 1153214452 1441518065 2306428904 2883036130 5766072260 11532144520