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5066756500 = 2253131745853
BaseRepresentation
bin1001011100000000…
…01001000110010100
3111002002222220021011
410232000021012110
540334042202000
62154434102004
7236362501561
oct45600110624
914062886234
105066756500
112170063173
12b94a1a904
13629932c90
14360cbb868
151e9c412ba
hex12e009194

5066756500 has 96 divisors (see below), whose sum is σ = 12618287136. Its totient is φ = 1760716800.

The previous prime is 5066756437. The next prime is 5066756537. The reversal of 5066756500 is 56576605.

It can be written as a sum of positive squares in 16 ways, for example, as 2384759556 + 2681996944 = 48834^2 + 51788^2 .

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 87574 + ... + 133426.

It is an arithmetic number, because the mean of its divisors is an integer number (131440491).

Almost surely, 25066756500 is an apocalyptic number.

5066756500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5066756500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6309143568).

5066756500 is an abundant number, since it is smaller than the sum of its proper divisors (7551530636).

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

5066756500 is a wasteful number, since it uses less digits than its factorization.

5066756500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45902 (or 45890 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 40.

The square root of 5066756500 is about 71181.1527021023. The cubic root of 5066756500 is about 1717.5524612359.

The spelling of 5066756500 in words is "five billion, sixty-six million, seven hundred fifty-six thousand, five hundred".

Divisors: 1 2 4 5 10 13 17 20 25 26 34 50 52 65 68 85 100 125 130 170 221 250 260 325 340 425 442 500 650 850 884 1105 1300 1625 1700 2125 2210 3250 4250 4420 5525 6500 8500 11050 22100 27625 45853 55250 91706 110500 183412 229265 458530 596089 779501 917060 1146325 1192178 1559002 2292650 2384356 2980445 3118004 3897505 4585300 5731625 5960890 7795010 10133513 11463250 11921780 14902225 15590020 19487525 20267026 22926500 29804450 38975050 40534052 50667565 59608900 74511125 77950100 97437625 101335130 149022250 194875250 202670260 253337825 298044500 389750500 506675650 1013351300 1266689125 2533378250 5066756500