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20966380125 = 353294159797
BaseRepresentation
bin10011100001101100…
…011001001001011101
32000010011221110120020
4103201230121021131
5320414343131000
613344250142353
71341365201445
oct234154311135
960104843506
1020966380125
118989a7a789
1240917219b9
131c919732b2
14102c7a1125
1582aa0aba0
hex4e1b1925d

20966380125 has 128 divisors (see below), whose sum is σ = 37645171200. Its totient is φ = 10341632000.

The previous prime is 20966380121. The next prime is 20966380139. The reversal of 20966380125 is 52108366902.

It is not a de Polignac number, because 20966380125 - 22 = 20966380121 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20966380121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26306227 + ... + 26307023.

It is an arithmetic number, because the mean of its divisors is an integer number (294102900).

Almost surely, 220966380125 is an apocalyptic number.

20966380125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20966380125 is a deficient number, since it is larger than the sum of its proper divisors (16678791075).

20966380125 is a wasteful number, since it uses less digits than its factorization.

20966380125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 20966380125 in words is "twenty billion, nine hundred sixty-six million, three hundred eighty thousand, one hundred twenty-five".

Divisors: 1 3 5 15 25 29 41 59 75 87 123 125 145 177 205 295 375 435 615 725 797 885 1025 1189 1475 1711 2175 2391 2419 3075 3567 3625 3985 4425 5125 5133 5945 7257 7375 8555 10875 11955 12095 15375 17835 19925 22125 23113 25665 29725 32677 36285 42775 47023 59775 60475 69339 70151 89175 98031 99625 115565 128325 141069 148625 163385 181425 210453 213875 235115 298875 302375 346695 350755 445875 490155 577825 641625 705345 816925 907125 947633 1052265 1175575 1363667 1733475 1753775 1927943 2450775 2842899 2889125 3526725 4084625 4091001 4738165 5261325 5783829 5877875 6818335 8667375 8768875 9639715 12253875 14214495 17633625 20455005 23690825 26306625 28919145 34091675 48198575 55910347 71072475 102275025 118454125 144595725 167731041 170458375 240992875 279551735 355362375 511375125 722978625 838655205 1397758675 4193276025 6988793375 20966380125