Search a number
-
+
248658771329016 = 23397106812186997
BaseRepresentation
bin111000100010011101100001…
…101111000011111111111000
31012121102112202022102101020220
4320202131201233003333320
5230043011130430012031
62240504132413420040
7103243001105323266
oct7042354157037770
91177375668371226
10248658771329016
1172259657992544
1223a7b89b49a620
13a899563112909
144559212241436
151db32ba4e1596
hexe22761bc3ff8

248658771329016 has 32 divisors (see below), whose sum is σ = 628055659548240. Its totient is φ = 82031759612928.

The previous prime is 248658771329009. The next prime is 248658771329057. The reversal of 248658771329016 is 610923177856842.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53406091171 + ... + 53406095826.

It is a 2-persistent number, because it is pandigital, and so is 2⋅248658771329016 = 497317542658032, but 3⋅248658771329016 = 745976313987048 is not.

Almost surely, 2248658771329016 is an apocalyptic number.

It is an amenable number.

248658771329016 is an abundant number, since it is smaller than the sum of its proper divisors (379396888219224).

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

248658771329016 is a wasteful number, since it uses less digits than its factorization.

248658771329016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106812187103 (or 106812187099 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 69.

The spelling of 248658771329016 in words is "two hundred forty-eight trillion, six hundred fifty-eight billion, seven hundred seventy-one million, three hundred twenty-nine thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 24 97 194 291 388 582 776 1164 2328 106812186997 213624373994 320436560991 427248747988 640873121982 854497495976 1281746243964 2563492487928 10360782138709 20721564277418 31082346416127 41443128554836 62164692832254 82886257109672 124329385664508 248658771329016