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53531699039296 = 26432212692
BaseRepresentation
bin11000010101111110100011…
…11001111100110001000000
321000112120200010222021221221
430022333101321330301000
524004030404423224141
6305504042324324424
714163352256065012
oct1412772171746100
9230476603867857
1053531699039296
11160697365a26a5
126006975843714
1323b402c766c1a
14d30d3b6841b2
1562c737d74bd1
hex30afd1e7cc40

53531699039296 has 63 divisors (see below), whose sum is σ = 108759924400341. Its totient is φ = 26142158724864.

The previous prime is 53531699039293. The next prime is 53531699039447. The reversal of 53531699039296 is 69293099613535.

It is a happy number.

The square root of 53531699039296 is 7316536.

It is a perfect power (a square), and thus also a powerful number.

53531699039296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 31321215199296 + 22210483840000 = 5596536^2 + 4712800^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (53531699039293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2516877750 + ... + 2516899018.

Almost surely, 253531699039296 is an apocalyptic number.

53531699039296 is the 7316536-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53531699039296

53531699039296 is an abundant number, since it is smaller than the sum of its proper divisors (55228225361045).

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

53531699039296 is an frugal number, since it uses more digits than its factorization.

53531699039296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42636 (or 21314 counting only the distinct ones).

The product of its (nonzero) digits is 318864600, while the sum is 70.

The spelling of 53531699039296 in words is "fifty-three trillion, five hundred thirty-one billion, six hundred ninety-nine million, thirty-nine thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 32 43 64 86 172 344 688 1376 1849 2752 3698 7396 14792 21269 29584 42538 59168 85076 118336 170152 340304 680608 914567 1361216 1829134 3658268 7316536 14633072 29266144 39326381 58532288 78652762 157305524 314611048 452370361 629222096 904740722 1258444192 1809481444 2516888384 3618962888 7237925776 14475851552 19451925523 28951703104 38903851046 77807702092 155615404184 311230808368 622461616736 836432797489 1244923233472 1672865594978 3345731189956 6691462379912 13382924759824 26765849519648 53531699039296