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511342975055236 = 224122757672
BaseRepresentation
bin111010001000100000101000…
…0011000101111010110000100
32111001111220121010022100112111
41310101001100120233112010
51014010320403103231421
65011311415251030404
7212464211415205042
oct16421012030572604
92431456533270474
10511342975055236
11138a2537980a055
124942583b89b404
1318c425881583bc
14903b1bc493392
153e1b30e515ee1
hex1d1105062f584

511342975055236 has 27 divisors (see below), whose sum is σ = 917211479241477. Its totient is φ = 249434693072160.

The previous prime is 511342975055123. The next prime is 511342975055273. The reversal of 511342975055236 is 632550579243115.

It is a happy number.

The square root of 511342975055236 is 22612894.

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., 24639370005636 + 486703605049600 = 4963806^2 + 22061360^2 .

It is a super-2 number, since 2×5113429750552362 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 1854119425 + ... + 1854395191.

Almost surely, 2511342975055236 is an apocalyptic number.

511342975055236 is the 22612894-th square number.

It is an amenable number.

511342975055236 is a deficient number, since it is larger than the sum of its proper divisors (405868504186241).

511342975055236 is an frugal number, since it uses more digits than its factorization.

511342975055236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551620 (or 275810 counting only the distinct ones).

The product of its (nonzero) digits is 34020000, while the sum is 58.

The spelling of 511342975055236 in words is "five hundred eleven trillion, three hundred forty-two billion, nine hundred seventy-five million, fifty-five thousand, two hundred thirty-six".

Divisors: 1 2 4 41 82 164 1681 3362 6724 275767 551534 1103068 11306447 22612894 45225788 463564327 927128654 1854257308 76047438289 152094876578 304189753156 3117944969849 6235889939698 12471779879396 127835743763809 255671487527618 511342975055236