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32012213024 = 251128299973
BaseRepresentation
bin11101110100000100…
…111001101100100000
310001121222121220201102
4131310010321230200
51011030111304044
622412312453532
72212202215061
oct356404715440
9101558556642
1032012213024
1112638072500
1262549aa2a8
1330322273ac
1417997a2568
15c7560024e
hex774139b20

32012213024 has 72 divisors (see below), whose sum is σ = 69364881180. Its totient is φ = 14531996160.

The previous prime is 32012213021. The next prime is 32012213029. The reversal of 32012213024 is 42031221023.

It can be written as a sum of positive squares in 2 ways, for example, as 31022481424 + 989731600 = 176132^2 + 31460^2 .

It is a junction number, because it is equal to n+sod(n) for n = 32012212987 and 32012213005.

It is not an unprimeable number, because it can be changed into a prime (32012213021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3204902 + ... + 3214874.

Almost surely, 232012213024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32012213024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34682440590).

32012213024 is an abundant number, since it is smaller than the sum of its proper divisors (37352668156).

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

32012213024 is a wasteful number, since it uses less digits than its factorization.

32012213024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10834 (or 10815 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 32012213024 its reverse (42031221023), we get a palindrome (74043434047).

The spelling of 32012213024 in words is "thirty-two billion, twelve million, two hundred thirteen thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 829 968 1658 1936 3316 3872 6632 9119 9973 13264 18238 19946 26528 36476 39892 72952 79784 100309 109703 145904 159568 200618 219406 291808 319136 401236 438812 802472 877624 1206733 1604944 1755248 2413466 3209888 3510496 4826932 8267617 9653864 16535234 19307728 33070468 38615456 66140936 90943787 132281872 181887574 264563744 363775148 727550296 1000381657 1455100592 2000763314 2910201184 4001526628 8003053256 16006106512 32012213024