Search a number
-
+
164424153360 = 24354315932573
BaseRepresentation
bin1001100100100001110…
…0010111100100010000
3120201102000001102110210
42121020130113210100
510143220040401420
6203311352124120
714610404146335
oct2311034274420
9521360042423
10164424153360
116380616a055
1227a49396640
1312674a0864c
147d5b31898c
1544250979e0
hex2648717910

164424153360 has 80 divisors (see below), whose sum is σ = 521568742464. Its totient is φ = 42826753536.

The previous prime is 164424153353. The next prime is 164424153427. The reversal of 164424153360 is 63351424461.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×1644241533603 (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7955967 + ... + 7976606.

Almost surely, 2164424153360 is an apocalyptic number.

164424153360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164424153360 is an abundant number, since it is smaller than the sum of its proper divisors (357144589104).

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

164424153360 is a wasteful number, since it uses less digits than its factorization.

164424153360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15932632 (or 15932626 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 164424153360 in words is "one hundred sixty-four billion, four hundred twenty-four million, one hundred fifty-three thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 344 430 516 645 688 860 1032 1290 1720 2064 2580 3440 5160 10320 15932573 31865146 47797719 63730292 79662865 95595438 127460584 159325730 191190876 238988595 254921168 318651460 382381752 477977190 637302920 685100639 764763504 955954380 1274605840 1370201278 1911908760 2055301917 2740402556 3425503195 3823817520 4110603834 5480805112 6851006390 8221207668 10276509585 10961610224 13702012780 16442415336 20553019170 27404025560 32884830672 41106038340 54808051120 82212076680 164424153360