Search a number
-
+
46888688864 = 2516723337657
BaseRepresentation
bin101011101010110010…
…001001110011100000
311111000202100012010002
4223222302021303200
51232012001020424
633312415155132
73246642164543
oct535262116340
9144022305102
1046888688864
1118981495a36
129106b15aa8
1345632b4414
1423ab43085a
151346664cae
hexaeac89ce0

46888688864 has 48 divisors (see below), whose sum is σ = 93265911648. Its totient is φ = 23203325952.

The previous prime is 46888688843. The next prime is 46888688887.

46888688864 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×468886888642 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 46888688791 and 46888688800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1226324 + ... + 1263980.

It is an arithmetic number, because the mean of its divisors is an integer number (1943039826).

Almost surely, 246888688864 is an apocalyptic number.

It is an amenable number.

46888688864 is a deficient number, since it is larger than the sum of its proper divisors (46377222784).

46888688864 is a wasteful number, since it uses less digits than its factorization.

46888688864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38067 (or 38059 counting only the distinct ones).

The product of its digits is 905969664, while the sum is 74.

The spelling of 46888688864 in words is "forty-six billion, eight hundred eighty-eight million, six hundred eighty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 167 233 334 466 668 932 1336 1864 2672 3728 5344 7456 37657 38911 75314 77822 150628 155644 301256 311288 602512 622576 1205024 1245152 6288719 8774081 12577438 17548162 25154876 35096324 50309752 70192648 100619504 140385296 201239008 280770592 1465271527 2930543054 5861086108 11722172216 23444344432 46888688864