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57823768020 = 223512714950929
BaseRepresentation
bin110101110110100100…
…001010110111010100
312112020211121202200210
4311312210022313110
51421410341034040
642321444005420
74114632630024
oct656644126724
9175224552623
1057823768020
1122583011837
12b259090870
1355b692b065
142b27841a84
15178667d480
hexd7690add4

57823768020 has 96 divisors (see below), whose sum is σ = 164279808000. Its totient is φ = 15195285504.

The previous prime is 57823768019. The next prime is 57823768021. The reversal of 57823768020 is 2086732875.

It is an interprime number because it is at equal distance from previous prime (57823768019) and next prime (57823768021).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57823768021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1109916 + ... + 1160844.

It is an arithmetic number, because the mean of its divisors is an integer number (1711248000).

Almost surely, 257823768020 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 57823768020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82139904000).

57823768020 is an abundant number, since it is smaller than the sum of its proper divisors (106456039980).

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

57823768020 is a wasteful number, since it uses less digits than its factorization.

57823768020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51217 (or 51215 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 57823768020 in words is "fifty-seven billion, eight hundred twenty-three million, seven hundred sixty-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 149 254 298 381 447 508 596 635 745 762 894 1270 1490 1524 1788 1905 2235 2540 2980 3810 4470 7620 8940 18923 37846 50929 56769 75692 94615 101858 113538 152787 189230 203716 227076 254645 283845 305574 378460 509290 567690 611148 763935 1018580 1135380 1527870 3055740 6467983 7588421 12935966 15176842 19403949 22765263 25871932 30353684 32339915 37942105 38807898 45530526 64679830 75884210 77615796 91061052 97019745 113826315 129359660 151768420 194039490 227652630 388078980 455305260 963729467 1927458934 2891188401 3854917868 4818647335 5782376802 9637294670 11564753604 14455942005 19274589340 28911884010 57823768020