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200163260130336 = 253210124112854127
BaseRepresentation
bin101101100000110000100100…
…000001000110010000100000
3222020201102100202100222122100
4231200300210001012100200
5202213433324043132321
61545413422100410400
760106214116450056
oct5540604401062040
9866642322328570
10200163260130336
11588618421096a8
121a548b929a6a00
13878c411a8b6b9
14375dd4c4d61d6
151821a8bd56326
hexb60c24046420

200163260130336 has 144 divisors (see below), whose sum is σ = 575088685411968. Its totient is φ = 66033059136000.

The previous prime is 200163260130319. The next prime is 200163260130389. The reversal of 200163260130336 is 633031062361002.

200163260130336 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 63 + 260 + 1 + 3 + 0 + 336 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 200163260130336.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68704105 + ... + 71558231.

It is an arithmetic number, because the mean of its divisors is an integer number (3993671426472).

Almost surely, 2200163260130336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200163260130336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287544342705984).

200163260130336 is an abundant number, since it is smaller than the sum of its proper divisors (374925425281632).

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

200163260130336 is a wasteful number, since it uses less digits than its factorization.

200163260130336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2856655 (or 2856644 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The spelling of 200163260130336 in words is "two hundred trillion, one hundred sixty-three billion, two hundred sixty million, one hundred thirty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 101 144 202 288 303 404 606 808 909 1212 1616 1818 2411 2424 3232 3636 4822 4848 7233 7272 9644 9696 14466 14544 19288 21699 28932 29088 38576 43398 57864 77152 86796 115728 173592 231456 243511 347184 487022 694368 730533 974044 1461066 1948088 2191599 2854127 2922132 3896176 4383198 5708254 5844264 7792352 8562381 8766396 11416508 11688528 17124762 17532792 22833016 23377056 25687143 34249524 35065584 45666032 51374286 68499048 70131168 91332064 102748572 136998096 205497144 273996192 288266827 410994288 576533654 821988576 864800481 1153067308 1729600962 2306134616 2594401443 3459201924 4612269232 5188802886 6881300197 6918403848 9224538464 10377605772 13762600394 13836807696 20643900591 20755211544 27525200788 27673615392 41287801182 41510423088 55050401576 61931701773 82575602364 83020846176 110100803152 123863403546 165151204728 220201606304 247726807092 330302409456 495453614184 660604818912 695011319897 990907228368 1390022639794 1981814456736 2085033959691 2780045279588 4170067919382 5560090559176 6255101879073 8340135838764 11120181118352 12510203758146 16680271677528 22240362236704 25020407516292 33360543355056 50040815032584 66721086710112 100081630065168 200163260130336