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164206490176 = 26376
BaseRepresentation
bin1001100011101101111…
…0000011001001000000
3120200211211110222201101
42120323132003021000
510142243330141201
6203234014544144
714602122064651
oct2307336031100
9520754428641
10164206490176
1163704312523
12279a8508054
131263b8a8771
147d3a459528
154410deed01
hex263b783240

164206490176 has 49 divisors (see below), whose sum is σ = 334898566549. Its totient is φ = 79884238464.

The previous prime is 164206490159. The next prime is 164206490183. The reversal of 164206490176 is 671094602461.

The square root of 164206490176 is 405224.

The cubic root of 164206490176 is 5476.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 49301761600 + 114904728576 = 222040^2 + 338976^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 4438013230 + ... + 4438013266.

Almost surely, 2164206490176 is an apocalyptic number.

164206490176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

164206490176 is the 405224-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164206490176

164206490176 is an abundant number, since it is smaller than the sum of its proper divisors (170692076373).

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

164206490176 is an frugal number, since it uses more digits than its factorization.

164206490176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The spelling of 164206490176 in words is "one hundred sixty-four billion, two hundred six million, four hundred ninety thousand, one hundred seventy-six".

Divisors: 1 2 4 8 16 32 37 64 74 148 296 592 1184 1369 2368 2738 5476 10952 21904 43808 50653 87616 101306 202612 405224 810448 1620896 1874161 3241792 3748322 7496644 14993288 29986576 59973152 69343957 119946304 138687914 277375828 554751656 1109503312 2219006624 2565726409 4438013248 5131452818 10262905636 20525811272 41051622544 82103245088 164206490176