Search a number
-
+
217955226883056 = 24313349287222569
BaseRepresentation
bin110001100011101010100111…
…111000000001001111110000
31001120201022112111201201020120
4301203222213320001033300
5212031434301040224211
62051315125435210240
763623513463534615
oct6143524770011760
91046638474651216
10217955226883056
11634a1324549113
12205412245a6980
139480122107a40
143bb7136d4250c
151a2e7b03c3d06
hexc63aa7e013f0

217955226883056 has 40 divisors (see below), whose sum is σ = 606362618381520. Its totient is φ = 67063146733056.

The previous prime is 217955226883027. The next prime is 217955226883073. The reversal of 217955226883056 is 650388622559712.

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 7 ways as a sum of consecutive naturals, for example, 174643610661 + ... + 174643611908.

It is an arithmetic number, because the mean of its divisors is an integer number (15159065459538).

Almost surely, 2217955226883056 is an apocalyptic number.

217955226883056 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

217955226883056 is an abundant number, since it is smaller than the sum of its proper divisors (388407391498464).

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

217955226883056 is a wasteful number, since it uses less digits than its factorization.

217955226883056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349287222593 (or 349287222587 counting only the distinct ones).

The product of its (nonzero) digits is 435456000, while the sum is 69.

The spelling of 217955226883056 in words is "two hundred seventeen trillion, nine hundred fifty-five billion, two hundred twenty-six million, eight hundred eighty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 349287222569 698574445138 1047861667707 1397148890276 2095723335414 2794297780552 4191446670828 4540733893397 5588595561104 8382893341656 9081467786794 13622201680191 16765786683312 18162935573588 27244403360382 36325871147176 54488806720764 72651742294352 108977613441528 217955226883056