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164471613601 = 67260532
BaseRepresentation
bin1001100100101101000…
…1011010100010100001
3120201112022100122200111
42121023101122202201
510143314213113401
6203320205251321
714611521435361
oct2311321324241
9521468318614
10164471613601
116382aa35699
1227a61263b41
13126817b4a29
147d637509a1
15442931ee51
hex264b45a8a1

164471613601 has 9 divisors (see below), whose sum is σ = 166990640691. Its totient is φ = 161990047032.

The previous prime is 164471613589. The next prime is 164471613653. The reversal of 164471613601 is 106316174461.

The square root of 164471613601 is 405551.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 12000107025 + 152471506576 = 109545^2 + 390476^2 .

It is not a de Polignac number, because 164471613601 - 211 = 164471611553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164471613701) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 27168891 + ... + 27174943.

Almost surely, 2164471613601 is an apocalyptic number.

164471613601 is the 405551-st square number.

164471613601 is the 202776-th centered octagonal number.

It is an amenable number.

164471613601 is a deficient number, since it is larger than the sum of its proper divisors (2519027090).

164471613601 is an frugal number, since it uses more digits than its factorization.

164471613601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12240 (or 6120 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 164471613601 in words is "one hundred sixty-four billion, four hundred seventy-one million, six hundred thirteen thousand, six hundred one".

Divisors: 1 67 4489 6053 405551 27171917 36638809 2454800203 164471613601