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211413561464316 = 2231392383428912401
BaseRepresentation
bin110000000100011110001110…
…001110110101010111111100
31000201112221100121010212120210
4300010132032032311113330
5210202244433213324231
62025350014354312420
762350061065120041
oct6004361616652774
91021487317125523
10211413561464316
11613a9a959a7502
121b865445b88710
1390c72a0818663
143a2c6844bd1c8
1519695429eda46
hexc0478e3b55fc

211413561464316 has 96 divisors (see below), whose sum is σ = 497211697382400. Its totient is φ = 69912896716800.

The previous prime is 211413561464311. The next prime is 211413561464327. The reversal of 211413561464316 is 613464165314112.

It is a happy number.

It is a super-2 number, since 2×2114135614643162 (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 (211413561464311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17048099716 + ... + 17048112116.

It is an arithmetic number, because the mean of its divisors is an integer number (5179288514400).

Almost surely, 2211413561464316 is an apocalyptic number.

It is an amenable number.

211413561464316 is an abundant number, since it is smaller than the sum of its proper divisors (285798135918084).

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

211413561464316 is a wasteful number, since it uses less digits than its factorization.

211413561464316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19219 (or 19217 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 48.

The spelling of 211413561464316 in words is "two hundred eleven trillion, four hundred thirteen billion, five hundred sixty-one million, four hundred sixty-four thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 12 139 278 417 556 834 1668 2383 4289 4766 7149 8578 9532 12401 12867 14298 17156 24802 25734 28596 37203 49604 51468 74406 148812 331237 596171 662474 993711 1192342 1324948 1723739 1788513 1987422 2384684 3447478 3577026 3974844 5171217 6894956 7154052 10220687 10342434 20441374 20684868 29551583 30662061 40882748 53187889 59103166 61324122 88654749 106375778 118206332 122648244 159563667 177309498 212751556 319127334 354618996 638254668 1420675493 2841350986 4107670037 4262026479 5682701972 7393116571 8215340074 8524052958 12323010111 14786233142 16430680148 17048105916 22179349713 24646020222 29572466284 44358699426 49292040444 88717398852 126746739487 253493478974 380240218461 506986957948 760480436922 1520960873844 17617796788693 35235593577386 52853390366079 70471187154772 105706780732158 211413561464316