Search a number
-
+
211011053456 = 24731173351301
BaseRepresentation
bin1100010010000100111…
…1010010011110010000
3202011122201112011020002
43010201033102132100
511424122312202311
6240534231105132
721150023234450
oct3044117223620
9664581464202
10211011053456
1181542269685
1234a8b2121a8
1316b8a616a18
14a2da62bd60
15574ee9893b
hex31213d2790

211011053456 has 80 divisors (see below), whose sum is σ = 485100284928. Its totient is φ = 87009984000.

The previous prime is 211011053441. The next prime is 211011053459. The reversal of 211011053456 is 654350110112.

211011053456 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2110110534562 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211011053459) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 425006 + ... + 776306.

Almost surely, 2211011053456 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 211011053456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242550142464).

211011053456 is an abundant number, since it is smaller than the sum of its proper divisors (274089231472).

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

211011053456 is a wasteful number, since it uses less digits than its factorization.

211011053456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351520 (or 351514 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

Adding to 211011053456 its reverse (654350110112), we get a palindrome (865361163568).

The spelling of 211011053456 in words is "two hundred eleven billion, eleven million, fifty-three thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 173 217 248 346 434 496 692 868 1211 1384 1736 2422 2768 3472 4844 5363 9688 10726 19376 21452 37541 42904 75082 85808 150164 300328 351301 600656 702602 1405204 2459107 2810408 4918214 5620816 9836428 10890331 19672856 21780662 39345712 43561324 60775073 76232317 87122648 121550146 152464634 174245296 243100292 304929268 425425511 486200584 609858536 850851022 972401168 1219717072 1701702044 1884027263 3403404088 3768054526 6806808176 7536109052 13188190841 15072218104 26376381682 30144436208 52752763364 105505526728 211011053456