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164038830461 = 11181212938699
BaseRepresentation
bin1001100011000101111…
…0011110100101111101
3120200102010222222211022
42120301132132211331
510141422420033321
6203205225233525
714565015024062
oct2306136364575
9520363888738
10164038830461
1163628709280
12279603328a5
1312612c3572c
147d22094c69
154401332dab
hex263179e97d

164038830461 has 16 divisors (see below), whose sum is σ = 180029304000. Its totient is φ = 148228819200.

The previous prime is 164038830457. The next prime is 164038830463.

164038830461 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 164038830461 - 22 = 164038830457 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164038830463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4219490 + ... + 4258188.

It is an arithmetic number, because the mean of its divisors is an integer number (11251831500).

Almost surely, 2164038830461 is an apocalyptic number.

164038830461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

164038830461 is a deficient number, since it is larger than the sum of its proper divisors (15990473539).

164038830461 is a wasteful number, since it uses less digits than its factorization.

164038830461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41020.

The product of its (nonzero) digits is 331776, while the sum is 44.

It can be divided in two parts, 164038 and 830461, that added together give a palindrome (994499).

The spelling of 164038830461 in words is "one hundred sixty-four billion, thirty-eight million, eight hundred thirty thousand, four hundred sixty-one".

Divisors: 1 11 181 1991 2129 23419 38699 385349 425689 4238839 7004519 77049709 82390171 906291881 14912620951 164038830461