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461831138164 = 221112671828361
BaseRepresentation
bin1101011100001110100…
…01111110101101110100
31122011001210202122002001
412232013101332231310
530031312232410124
6552055020025044
745236414621644
oct6560721765564
91564053678061
10461831138164
11168952701690
127560a392184
133472056b626
14184d1d16524
15c02eca5b44
hex6b8747eb74

461831138164 has 24 divisors (see below), whose sum is σ = 881748274176. Its totient is φ = 209906424000.

The previous prime is 461831138149. The next prime is 461831138179.

461831138164 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (461831138149) and next prime (461831138179).

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, 143344 + ... + 971704.

It is an arithmetic number, because the mean of its divisors is an integer number (36739511424).

Almost surely, 2461831138164 is an apocalyptic number.

461831138164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

461831138164 is a deficient number, since it is larger than the sum of its proper divisors (419917136012).

461831138164 is a wasteful number, since it uses less digits than its factorization.

461831138164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841047 (or 841045 counting only the distinct ones).

The product of its digits is 331776, while the sum is 46.

It can be divided in two parts, 461831 and 138164, that added together give a palindrome (599995).

The spelling of 461831138164 in words is "four hundred sixty-one billion, eight hundred thirty-one million, one hundred thirty-eight thousand, one hundred sixty-four".

Divisors: 1 2 4 11 22 44 12671 25342 50684 139381 278762 557524 828361 1656722 3313444 9111971 18223942 36447884 10496162231 20992324462 41984648924 115457784541 230915569082 461831138164