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211411011424 = 2553208959671
BaseRepresentation
bin1100010011100100010…
…1000000011101100000
3202012200121010010102011
43010321011000131200
511430432204331144
6241042035402304
721162650642614
oct3047105003540
9665617103364
10211411011424
1181728005a58
1234b81153394
1316c22442142
14a3377c1344
15577514ea34
hex3139140760

211411011424 has 48 divisors (see below), whose sum is σ = 424278660960. Its totient is φ = 103659678720.

The previous prime is 211411011359. The next prime is 211411011473. The reversal of 211411011424 is 424110114112.

It is a junction number, because it is equal to n+sod(n) for n = 211411011395 and 211411011404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3513109 + ... + 3572779.

It is an arithmetic number, because the mean of its divisors is an integer number (8839138770).

Almost surely, 2211411011424 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 211411011424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212139330480).

211411011424 is an abundant number, since it is smaller than the sum of its proper divisors (212867649536).

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

211411011424 is a wasteful number, since it uses less digits than its factorization.

211411011424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61823 (or 61815 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 211411011424 its reverse (424110114112), we get a palindrome (635521125536).

The spelling of 211411011424 in words is "two hundred eleven billion, four hundred eleven million, eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 53 106 212 424 848 1696 2089 4178 8356 16712 33424 59671 66848 110717 119342 221434 238684 442868 477368 885736 954736 1771472 1909472 3162563 3542944 6325126 12650252 25300504 50601008 101202016 124652719 249305438 498610876 997221752 1994443504 3988887008 6606594107 13213188214 26426376428 52852752856 105705505712 211411011424