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211218631392 = 25317491263591
BaseRepresentation
bin1100010010110110011…
…1001000101011100000
3202012012012010012121210
43010231213020223200
511430033432201032
6241011004150120
721155123513106
oct3045547105340
9665165105553
10211218631392
1181639457a9a
1234b28838340
1316bc16252c2
14a31a023c76
1557632ed2cc
hex312d9c8ae0

211218631392 has 96 divisors (see below), whose sum is σ = 588261429504. Its totient is φ = 66129459200.

The previous prime is 211218631391. The next prime is 211218631397. The reversal of 211218631392 is 293136812112.

211218631392 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×2112186313922 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211218631392.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211218631391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 669517 + ... + 933107.

It is an arithmetic number, because the mean of its divisors is an integer number (6127723224).

Almost surely, 2211218631392 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 211218631392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294130714752).

211218631392 is an abundant number, since it is smaller than the sum of its proper divisors (377042798112).

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

211218631392 is a wasteful number, since it uses less digits than its factorization.

211218631392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264112 (or 264104 counting only the distinct ones).

The product of its digits is 31104, while the sum is 39.

The spelling of 211218631392 in words is "two hundred eleven billion, two hundred eighteen million, six hundred thirty-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 491 544 816 982 1473 1632 1964 2946 3928 5892 7856 8347 11784 15712 16694 23568 25041 33388 47136 50082 66776 100164 133552 200328 263591 267104 400656 527182 790773 801312 1054364 1581546 2108728 3163092 4217456 4481047 6326184 8434912 8962094 12652368 13443141 17924188 25304736 26886282 35848376 53772564 71696752 107545128 129423181 143393504 215090256 258846362 388269543 430180512 517692724 776539086 1035385448 1553078172 2070770896 2200194077 3106156344 4141541792 4400388154 6212312688 6600582231 8800776308 12424625376 13201164462 17601552616 26402328924 35203105232 52804657848 70406210464 105609315696 211218631392