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507229948808 = 2311420812
BaseRepresentation
bin1110110000110010100…
…00101100101110001000
31210111020201122011111022
413120121100230232020
531302301331330213
61025003534052012
751434426266322
oct7303120545610
91714221564438
10507229948808
1118612a0a0000
128237a34a008
1338aa6c958ab
141a79b51a612
15d2da720308
hex761942cb88

507229948808 has 60 divisors (see below), whose sum is σ = 1046658232725. Its totient is φ = 230448275200.

The previous prime is 507229948763. The next prime is 507229948831. The reversal of 507229948808 is 808849922705.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 499682161924 + 7547786884 = 706882^2 + 86878^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=503602.

It is a Duffinian number.

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 243742328 + ... + 243744408.

Almost surely, 2507229948808 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 507229948808

507229948808 is an abundant number, since it is smaller than the sum of its proper divisors (539428283917).

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

507229948808 is an frugal number, since it uses more digits than its factorization.

507229948808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4212 (or 2094 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 62.

The spelling of 507229948808 in words is "five hundred seven billion, two hundred twenty-nine million, nine hundred forty-eight thousand, eight hundred eight".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 1331 2081 2662 4162 5324 8324 10648 14641 16648 22891 29282 45782 58564 91564 117128 183128 251801 503602 1007204 2014408 2769811 4330561 5539622 8661122 11079244 17322244 22158488 30467921 34644488 47636171 60935842 95272342 121871684 190544684 243743368 381089368 523997881 1047995762 2095991524 4191983048 5763976691 11527953382 23055906764 46111813528 63403743601 126807487202 253614974404 507229948808