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248074803097 = 11131754722811
BaseRepresentation
bin1110011100001001101…
…0010001011110011001
3212201022202111201110021
43213002122101132121
513031024122144342
6305544115550441
723631345014542
oct3470232213631
9781282451407
10248074803097
1196231839330
12400b38bb421
131a516275624
14c014c694c9
1566bdcd0567
hex39c2691799

248074803097 has 16 divisors (see below), whose sum is σ = 272741001984. Its totient is φ = 223761538000.

The previous prime is 248074803091. The next prime is 248074803101. The reversal of 248074803097 is 790308470842.

248074803097 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 248074803097 - 23 = 248074803089 is a prime.

It is a super-2 number, since 2×2480748030972 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (248074803091) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 10863822 + ... + 10886632.

It is an arithmetic number, because the mean of its divisors is an integer number (17046312624).

Almost surely, 2248074803097 is an apocalyptic number.

It is an amenable number.

248074803097 is a deficient number, since it is larger than the sum of its proper divisors (24666198887).

248074803097 is a wasteful number, since it uses less digits than its factorization.

248074803097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30500.

The product of its (nonzero) digits is 2709504, while the sum is 52.

The spelling of 248074803097 in words is "two hundred forty-eight billion, seventy-four million, eight hundred three thousand, ninety-seven".

Divisors: 1 11 131 1441 7547 22811 83017 250921 988657 2988241 10875227 32870651 172154617 1893700787 22552254827 248074803097