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200416012630110 = 232523171653564041
BaseRepresentation
bin101101100100011011111101…
…001111010111100001011110
3222021121120202111210022121200
4231210123331033113201132
5202232103443213130420
61550125502315540330
760133402424321364
oct5544337517274136
9867546674708550
10200416012630110
1158949a54327752
121a589b7115a6a6
1387aa1c2186184
14376c2886c5634
151828431625b90
hexb646fd3d785e

200416012630110 has 96 divisors (see below), whose sum is σ = 543741487668288. Its totient is φ = 51120217674240.

The previous prime is 200416012630109. The next prime is 200416012630117. The reversal of 200416012630110 is 11036210614002.

It is a happy number.

200416012630110 is a `hidden beast` number, since 2 + 0 + 0 + 4 + 1 + 6 + 0 + 12 + 630 + 1 + 10 = 666.

It is a super-2 number, since 2×2004160126301102 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200416012630117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 355039690 + ... + 355603730.

It is an arithmetic number, because the mean of its divisors is an integer number (5663973829878).

Almost surely, 2200416012630110 is an apocalyptic number.

200416012630110 is an abundant number, since it is smaller than the sum of its proper divisors (343325475038178).

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

200416012630110 is a wasteful number, since it uses less digits than its factorization.

200416012630110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735730 (or 735727 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 200416012630110 in words is "two hundred trillion, four hundred sixteen billion, twelve million, six hundred thirty thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 690 1035 2070 171653 343306 514959 564041 858265 1029918 1128082 1544877 1692123 1716530 2574795 2820205 3089754 3384246 3948019 5076369 5149590 5640410 7724385 7896038 8460615 10152738 11844057 12972943 15448770 16921230 19740095 23688114 25381845 25945886 35532171 38918829 39480190 50763690 59220285 64864715 71064342 77837658 116756487 118440570 129729430 177660855 194594145 233512974 355321710 389188290 583782435 1167564870 96819329773 193638659546 290457989319 484096648865 580915978638 871373967957 968193297730 1452289946595 1742747935914 2226844584779 2904579893190 4356869839785 4453689169558 6680533754337 8713739679570 11134222923895 13361067508674 20041601263011 22268445847790 33402668771685 40083202526022 66805337543370 100208006315055 200416012630110