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5768790900 = 2235230236361
BaseRepresentation
bin1010101111101100…
…01100001101110100
3112220000222221102020
411113312030031310
543303302302100
62352233113140
7262645625235
oct52766141564
915800887366
105768790900
1124a0371a94
12114bb587b0
1370c205352
143ca22508c
1523b6b65a0
hex157d8c374

5768790900 has 72 divisors (see below), whose sum is σ = 16699181184. Its totient is φ = 1537593600.

The previous prime is 5768790889. The next prime is 5768790917. The reversal of 5768790900 is 90978675.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 903720 + ... + 910080.

It is an arithmetic number, because the mean of its divisors is an integer number (231933072).

Almost surely, 25768790900 is an apocalyptic number.

5768790900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5768790900 is an abundant number, since it is smaller than the sum of its proper divisors (10930390284).

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

5768790900 is a wasteful number, since it uses less digits than its factorization.

5768790900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9401 (or 9394 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 51.

The square root of 5768790900 is about 75952.5569023190. The cubic root of 5768790900 is about 1793.4733698299.

The spelling of 5768790900 in words is "five billion, seven hundred sixty-eight million, seven hundred ninety thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 3023 6046 6361 9069 12092 12722 15115 18138 19083 25444 30230 31805 36276 38166 45345 60460 63610 75575 76332 90690 95415 127220 151150 159025 181380 190830 226725 302300 318050 381660 453450 477075 636100 906900 954150 1908300 19229303 38458606 57687909 76917212 96146515 115375818 192293030 230751636 288439545 384586060 480732575 576879090 961465150 1153758180 1442197725 1922930300 2884395450 5768790900