Search a number
-
+
247497106164 = 223711267854011
BaseRepresentation
bin1110011001111111111…
…0100010001011110100
3212122211111110200020120
43212133332202023310
513023333224344124
6305410521531540
723611131456120
oct3463776421364
9778744420216
10247497106164
1195a65734050
123bb72343bb0
131a453688519
14bd9c24a580
15668821ad79
hex399ffa22f4

247497106164 has 48 divisors (see below), whose sum is σ = 719991584256. Its totient is φ = 64284962400.

The previous prime is 247497106121. The next prime is 247497106183. The reversal of 247497106164 is 461601794742.

It is a super-2 number, since 2×2474971061642 (a number of 24 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 133926082 + ... + 133927929.

It is an arithmetic number, because the mean of its divisors is an integer number (14999824672).

Almost surely, 2247497106164 is an apocalyptic number.

It is an amenable number.

247497106164 is an abundant number, since it is smaller than the sum of its proper divisors (472494478092).

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

247497106164 is a wasteful number, since it uses less digits than its factorization.

247497106164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267854036 (or 267854034 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The spelling of 247497106164 in words is "two hundred forty-seven billion, four hundred ninety-seven million, one hundred six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 267854011 535708022 803562033 1071416044 1607124066 1874978077 2946394121 3214248132 3749956154 5624934231 5892788242 7499912308 8839182363 11249868462 11785576484 17678364726 20624758847 22499736924 35356729452 41249517694 61874276541 82499035388 123748553082 247497106164