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164140041461 = 1125515849401
BaseRepresentation
bin1001100011011110000…
…0100100010011110101
3120200200012110001012212
42120313200210103311
510142124322311321
6203223242423205
714600354221634
oct2306740442365
9520605401185
10164140041461
116367a857630
122798a201b05
131262abb14b6
147d316bd51b
15440a17655b
hex26378244f5

164140041461 has 8 divisors (see below), whose sum is σ = 179132086848. Its totient is φ = 149159700000.

The previous prime is 164140041449. The next prime is 164140041467.

164140041461 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-164140041461 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164140041467) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2896640 + ... + 2952761.

It is an arithmetic number, because the mean of its divisors is an integer number (22391510856).

Almost surely, 2164140041461 is an apocalyptic number.

164140041461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

164140041461 is a deficient number, since it is larger than the sum of its proper divisors (14992045387).

164140041461 is a wasteful number, since it uses less digits than its factorization.

164140041461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5851963.

The product of its (nonzero) digits is 9216, while the sum is 32.

It can be divided in two parts, 1641400 and 41461, that added together give a palindrome (1682861).

The spelling of 164140041461 in words is "one hundred sixty-four billion, one hundred forty million, forty-one thousand, four hundred sixty-one".

Divisors: 1 11 2551 28061 5849401 64343411 14921821951 164140041461