Search a number
-
+
10664166364320 = 253573173859037
BaseRepresentation
bin1001101100101111000111…
…0110010001010010100000
31101202111002002102100110110
42123023301312101102200
52344210203042124240
634403014515131320
72150313661320630
oct233136166212240
941674062370413
1010664166364320
113441713997877
1212429538a3b40
135c481b772b31
1428c2113246c0
151375ed19bc80
hex9b2f1d914a0

10664166364320 has 96 divisors (see below), whose sum is σ = 38390998923648. Its totient is φ = 2437523739648.

The previous prime is 10664166364273. The next prime is 10664166364361. The reversal of 10664166364320 is 2346366146601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×106641663643202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10664166364320.

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, 1586926159 + ... + 1586932878.

It is an arithmetic number, because the mean of its divisors is an integer number (399906238788).

Almost surely, 210664166364320 is an apocalyptic number.

10664166364320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10664166364320 is an abundant number, since it is smaller than the sum of its proper divisors (27726832559328).

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

10664166364320 is a wasteful number, since it uses less digits than its factorization.

10664166364320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3173859062 (or 3173859054 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 48.

The spelling of 10664166364320 in words is "ten trillion, six hundred sixty-four billion, one hundred sixty-six million, three hundred sixty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 3173859037 6347718074 9521577111 12695436148 15869295185 19043154222 22217013259 25390872296 31738590370 38086308444 44434026518 47607885555 50781744592 63477180740 66651039777 76172616888 88868053036 95215771110 101563489184 111085066295 126954361480 133302079554 152345233776 177736106072 190431542220 222170132590 253908722960 266604159108 304690467552 333255198885 355472212144 380863084440 444340265180 507817445920 533208318216 666510397770 710944424288 761726168880 888680530360 1066416636432 1333020795540 1523452337760 1777361060720 2132833272864 2666041591080 3554722121440 5332083182160 10664166364320