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52009539136 = 262929832
BaseRepresentation
bin110000011100000000…
…101001011001000000
311222020122010100002021
4300130000221121000
51323003420223021
635520504531224
73520562534302
oct603400513100
9158218110067
1052009539136
112006a0355a5
12a0b5a80b14
134b9b1a6c39
14273558d972
151545eddc41
hexc1c029640

52009539136 has 63 divisors (see below), whose sum is σ = 106996837441. Its totient is φ = 25082511104.

The previous prime is 52009539091. The next prime is 52009539149. The reversal of 52009539136 is 63193590025.

The square root of 52009539136 is 228056.

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

It can be written as a sum of positive squares in only one way, i.e., 27272540736 + 24736998400 = 165144^2 + 157280^2 .

It is a super-2 number, since 2×520095391362 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 52009539092 and 52009539101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 52908501 + ... + 52909483.

Almost surely, 252009539136 is an apocalyptic number.

52009539136 is the 228056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52009539136

52009539136 is an abundant number, since it is smaller than the sum of its proper divisors (54987298305).

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

52009539136 is an frugal number, since it uses more digits than its factorization.

52009539136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2036 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 43.

The spelling of 52009539136 in words is "fifty-two billion, nine million, five hundred thirty-nine thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 841 928 983 1682 1856 1966 3364 3932 6728 7864 13456 15728 26912 28507 31456 53824 57014 62912 114028 228056 456112 826703 912224 966289 1653406 1824448 1932578 3306812 3865156 6613624 7730312 13227248 15460624 26454496 28022381 30921248 52908992 56044762 61842496 112089524 224179048 448358096 812649049 896716192 1625298098 1793432384 3250596196 6501192392 13002384784 26004769568 52009539136