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5768662000 = 24535475273
BaseRepresentation
bin1010101111101011…
…01100101111110000
3112220000202101121011
411113311230233300
543303234141000
62352230240304
7262644550363
oct52765545760
915800671534
105768662000
1124a0294162
12114bab6094
1370c18b78a
143ca1d00da
1523b68d2ba
hex157d6cbf0

5768662000 has 80 divisors (see below), whose sum is σ = 13976775072. Its totient is φ = 2302809600.

The previous prime is 5768661973. The next prime is 5768662007. The reversal of 5768662000 is 2668675.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×57686620002 = 66554922540488000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5768662007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1091364 + ... + 1096636.

Almost surely, 25768662000 is an apocalyptic number.

5768662000 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 5768662000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6988387536).

5768662000 is an abundant number, since it is smaller than the sum of its proper divisors (8208113072).

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

5768662000 is a wasteful number, since it uses less digits than its factorization.

5768662000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5843 (or 5827 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 5768662000 is about 75951.7083415508. The cubic root of 5768662000 is about 1793.4600117194.

The spelling of 5768662000 in words is "five billion, seven hundred sixty-eight million, six hundred sixty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 547 1000 1094 2000 2188 2735 4376 5273 5470 8752 10546 10940 13675 21092 21880 26365 27350 42184 43760 52730 54700 68375 84368 105460 109400 131825 136750 210920 218800 263650 273500 421840 527300 547000 659125 1054600 1094000 1318250 2109200 2636500 2884331 5273000 5768662 10546000 11537324 14421655 23074648 28843310 46149296 57686620 72108275 115373240 144216550 230746480 288433100 360541375 576866200 721082750 1153732400 1442165500 2884331000 5768662000