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2010532442424 = 2331171227472523
BaseRepresentation
bin11101010000011101000…
…100100111000100111000
321010012112110111100210020
4131100131010213010320
5230420032301124144
64135343103450440
7265153603534212
oct35203504470470
97105473440706
102010532442424
11705731170760
122857a32b6a20
1311779165551c
146d44b6115b2
15374729b1419
hex1d41d127138

2010532442424 has 128 divisors (see below), whose sum is σ = 5585006868480. Its totient is φ = 598023843200.

The previous prime is 2010532442393. The next prime is 2010532442461. The reversal of 2010532442424 is 4242442350102.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4018627 + ... + 4491149.

It is an arithmetic number, because the mean of its divisors is an integer number (43632866160).

Almost surely, 22010532442424 is an apocalyptic number.

2010532442424 is a gapful number since it is divisible by the number (24) 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 2010532442424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2792503434240).

2010532442424 is an abundant number, since it is smaller than the sum of its proper divisors (3574474426056).

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

2010532442424 is a wasteful number, since it uses less digits than its factorization.

2010532442424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472841 (or 472837 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 33.

Adding to 2010532442424 its reverse (4242442350102), we get a palindrome (6252974792526).

The spelling of 2010532442424 in words is "two trillion, ten billion, five hundred thirty-two million, four hundred forty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 71 88 132 142 213 227 264 284 426 454 568 681 781 852 908 1362 1562 1704 1816 2343 2497 2724 3124 4686 4994 5448 6248 7491 9372 9988 14982 16117 18744 19976 29964 32234 48351 59928 64468 96702 128936 177287 193404 354574 386808 472523 531861 709148 945046 1063722 1417569 1418296 1890092 2127444 2835138 3780184 4254888 5197753 5670276 10395506 11340552 15593259 20791012 31186518 33549133 41582024 62373036 67098266 100647399 107262721 124746072 134196532 201294798 214525442 268393064 321788163 369040463 402589596 429050884 643576326 738080926 805179192 858101768 1107121389 1179889931 1287152652 1476161852 2214242778 2359779862 2574305304 2952323704 3539669793 4428485556 4719559724 7079339586 7615653191 8856971112 9439119448 14158679172 15231306382 22846959573 28317358344 30462612764 45693919146 60925225528 83772185101 91387838292 167544370202 182775676584 251316555303 335088740404 502633110606 670177480808 1005266221212 2010532442424