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16445798568 = 23323498092
BaseRepresentation
bin11110101000011111…
…01111100010101000
31120110010200010110200
433110033233202220
5232140111023233
611315522312200
71121353660413
oct172417574250
946403603420
1016445798568
116a7a251971
12322b7b8660
131721241774
14b20258b7a
15663c04313
hex3d43ef8a8

16445798568 has 72 divisors (see below), whose sum is σ = 44723610750. Its totient is φ = 5459468544.

The previous prime is 16445798549. The next prime is 16445798569. The reversal of 16445798568 is 86589754461.

16445798568 is a `hidden beast` number, since 1 + 6 + 4 + 4 + 579 + 8 + 56 + 8 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 16023002724 + 422795844 = 126582^2 + 20562^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-4 number, since 4×164457985684 (a number of 42 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (16445798569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 20328148 + ... + 20328956.

Almost surely, 216445798568 is an apocalyptic number.

16445798568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

16445798568 is an abundant number, since it is smaller than the sum of its proper divisors (28277812182).

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

16445798568 is an equidigital number, since it uses as much as digits as its factorization.

16445798568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1979 (or 1163 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 63.

The spelling of 16445798568 in words is "sixteen billion, four hundred forty-five million, seven hundred ninety-eight thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 349 698 809 1047 1396 1618 2094 2427 2792 3141 3236 4188 4854 6282 6472 7281 8376 9708 12564 14562 19416 25128 29124 58248 282341 564682 654481 847023 1129364 1308962 1694046 1963443 2258728 2541069 2617924 3388092 3926886 5082138 5235848 5890329 6776184 7853772 10164276 11780658 15707544 20328552 23561316 47122632 228413869 456827738 685241607 913655476 1370483214 1827310952 2055724821 2740966428 4111449642 5481932856 8222899284 16445798568