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164412451165554 = 23255441716475009
BaseRepresentation
bin100101011000100001000001…
…101111111001010101110010
3210120010200021102000212022200
4211120201001233321111302
5133022213144444244204
61341402012023044030
746426256544304254
oct4530410157712562
9716120242025280
10164412451165554
1148428a24506209
12165342992a0616
1370980488aa077
142c8586854bcd4
151401b29db5539
hex958841bf9572

164412451165554 has 24 divisors (see below), whose sum is σ = 356227641673020. Its totient is φ = 54804048211968.

The previous prime is 164412451165537. The next prime is 164412451165561. The reversal of 164412451165554 is 455561154214461.

164412451165554 is a `hidden beast` number, since 1 + 6 + 4 + 4 + 1 + 24 + 5 + 1 + 1 + 65 + 554 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 102946490525025 + 61465960640529 = 10146255^2 + 7840023^2 .

It is a super-3 number, since 3×1644124511655543 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 164412451165554.

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 11 ways as a sum of consecutive naturals, for example, 1742002 + ... + 18217010.

Almost surely, 2164412451165554 is an apocalyptic number.

164412451165554 is an abundant number, since it is smaller than the sum of its proper divisors (191815190507466).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164412451165554 is a wasteful number, since it uses less digits than its factorization.

164412451165554 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17029434 (or 17029431 counting only the distinct ones).

The product of its digits is 11520000, while the sum is 54.

The spelling of 164412451165554 in words is "one hundred sixty-four trillion, four hundred twelve billion, four hundred fifty-one million, one hundred sixty-five thousand, five hundred fifty-four".

Divisors: 1 2 3 6 9 18 554417 1108834 1663251 3326502 4989753 9979506 16475009 32950018 49425027 98850054 148275081 296550162 9134025064753 18268050129506 27402075194259 54804150388518 82206225582777 164412451165554