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5458788115900 = 22527210499106109
BaseRepresentation
bin100111101101111100100…
…1000000110010110111100
3201022212002022220012200221
41033123321020012112330
51203414044224202100
615335422130031124
71102245600255100
oct117337110062674
921285068805627
105458788115900
111815071643509
12741b491184a4
133079b9066cb2
1414c2c7497900
1596ee028601a
hex4f6f92065bc

5458788115900 has 108 divisors (see below), whose sum is σ = 13780983195000. Its totient is φ = 1871388597120.

The previous prime is 5458788115883. The next prime is 5458788115969. The reversal of 5458788115900 is 95118878545.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51392046 + ... + 51498154.

It is an arithmetic number, because the mean of its divisors is an integer number (127601696250).

Almost surely, 25458788115900 is an apocalyptic number.

5458788115900 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 5458788115900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6890491597500).

5458788115900 is an abundant number, since it is smaller than the sum of its proper divisors (8322195079100).

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

5458788115900 is a wasteful number, since it uses less digits than its factorization.

5458788115900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116636 (or 116622 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 61.

The spelling of 5458788115900 in words is "five trillion, four hundred fifty-eight billion, seven hundred eighty-eight million, one hundred fifteen thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 10499 20998 41996 52495 73493 104990 106109 146986 209980 212218 262475 293972 367465 424436 514451 524950 530545 734930 742763 1028902 1049900 1061090 1469860 1485526 1837325 2057804 2122180 2572255 2652725 2971052 3674650 3713815 5144510 5199341 5305450 7349300 7427630 10289020 10398682 10610900 12861275 14855260 18569075 20797364 25722550 25996705 37138150 51445100 51993410 74276300 103986820 129983525 259967050 519934100 1114038391 2228076782 4456153564 5570191955 7798268737 11140383910 15596537474 22280767820 27850959775 31193074948 38991343685 54587881159 55701919550 77982687370 109175762318 111403839100 155965374740 194956718425 218351524636 272939405795 389913436850 545878811590 779826873700 1091757623180 1364697028975 2729394057950 5458788115900