Search a number
-
+
20107177050555 = 32571928311871361
BaseRepresentation
bin1001001001001100100010…
…01001010100000110111011
32122012020010201222210101200
410210212101021110012323
510113413444311104210
6110433035402145243
74143460406642010
oct444462111240673
978166121883350
1020107177050555
116452451285481
122308aa4ab2223
13b2b1389a994a
144d729a565707
1524d07920e0c0
hex1249912541bb

20107177050555 has 96 divisors (see below), whose sum is σ = 42075905763840. Its totient is φ = 8677299363840.

The previous prime is 20107177050487. The next prime is 20107177050619. The reversal of 20107177050555 is 55505077170102.

20107177050555 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 71 + 7 + 70 + 505 + 5 + 5 = 666.

It is not a de Polignac number, because 20107177050555 - 29 = 20107177050043 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 20107177050555.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 4241926 + ... + 7629435.

It is an arithmetic number, because the mean of its divisors is an integer number (438290685040).

Almost surely, 220107177050555 is an apocalyptic number.

20107177050555 is an abundant number, since it is smaller than the sum of its proper divisors (21968728713285).

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

20107177050555 is a wasteful number, since it uses less digits than its factorization.

20107177050555 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11871681 (or 11871678 counting only the distinct ones).

The product of its (nonzero) digits is 428750, while the sum is 45.

The spelling of 20107177050555 in words is "twenty trillion, one hundred seven billion, one hundred seventy-seven million, fifty thousand, five hundred fifty-five".

Divisors: 1 3 5 7 9 15 19 21 35 45 57 63 95 105 133 171 283 285 315 399 665 849 855 1197 1415 1981 1995 2547 4245 5377 5943 5985 9905 12735 16131 17829 26885 29715 37639 48393 80655 89145 112917 188195 241965 338751 564585 1693755 11871361 35614083 59356805 83099527 106842249 178070415 225555859 249298581 415497635 534211245 676667577 747895743 1127779295 1246492905 1578891013 2030002731 3359595163 3383337885 3739478715 4736673039 7894455065 10078785489 10150013655 14210019117 16797975815 23517166141 23683365195 30236356467 50393927445 63832308097 70551498423 71050095585 117585830705 151181782335 191496924291 211654495269 319161540485 352757492115 446826156679 574490772873 957484621455 1058272476345 1340478470037 2234130783395 2872453864365 4021435410111 6702392350185 20107177050555