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511430940736 = 26893932
BaseRepresentation
bin1110111000100111010…
…10001101100001000000
31210220002111112200000221
413130103222031201000
531334402310100421
61030540443552424
751643510161232
oct7342352154100
91726074480027
10511430940736
11187995484461
128315122b714
13392c642ac31
141aa79430252
15d484448841
hex7713a8d840

511430940736 has 21 divisors (see below), whose sum is σ = 1014882126061. Its totient is φ = 255712609792.

The previous prime is 511430940733. The next prime is 511430940767. The reversal of 511430940736 is 637049034115.

The square root of 511430940736 is 715144.

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., 72317966400 + 439112974336 = 268920^2 + 662656^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 511430940692 and 511430940701.

It is not an unprimeable number, because it can be changed into a prime (511430940733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 5676456 + ... + 5765848.

Almost surely, 2511430940736 is an apocalyptic number.

511430940736 is the 715144-th square number.

It is an amenable number.

511430940736 is a deficient number, since it is larger than the sum of its proper divisors (503451185325).

511430940736 is an frugal number, since it uses more digits than its factorization.

511430940736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178798 (or 89395 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 43.

The spelling of 511430940736 in words is "five hundred eleven billion, four hundred thirty million, nine hundred forty thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 89393 178786 357572 715144 1430288 2860576 5721152 7991108449 15982216898 31964433796 63928867592 127857735184 255715470368 511430940736