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4211206896 = 2431322322571
BaseRepresentation
bin1111101100000001…
…1110101011110000
3101212111010110211210
43323000132223300
532111032110041
61533512440120
7206233445061
oct37300365360
911774113753
104211206896
111871131086
129963a9040
13521600a00
142bd412568
15199a95016
hexfb01eaf0

4211206896 has 120 divisors (see below), whose sum is σ = 12292891776. Its totient is φ = 1239363840.

The previous prime is 4211206891. The next prime is 4211206903. The reversal of 4211206896 is 6986021124.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4211206891) 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 23 ways as a sum of consecutive naturals, for example, 175291 + ... + 197861.

Almost surely, 24211206896 is an apocalyptic number.

4211206896 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4211206896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6146445888).

4211206896 is an abundant number, since it is smaller than the sum of its proper divisors (8081684880).

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

4211206896 is a wasteful number, since it uses less digits than its factorization.

4211206896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22631 (or 22612 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 4211206896 is about 64893.8124631309. The cubic root of 4211206896 is about 1614.8624133637.

The spelling of 4211206896 in words is "four billion, two hundred eleven million, two hundred six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 39 46 48 52 69 78 92 104 138 156 169 184 208 276 299 312 338 368 507 552 598 624 676 897 1014 1104 1196 1352 1794 2028 2392 2704 3588 3887 4056 4784 7176 7774 8112 11661 14352 15548 22571 23322 31096 45142 46644 62192 67713 90284 93288 135426 180568 186576 270852 293423 361136 519133 541704 586846 880269 1038266 1083408 1173692 1557399 1760538 2076532 2347384 3114798 3521076 3814499 4153064 4694768 6229596 6748729 7042152 7628998 8306128 11443497 12459192 13497458 14084304 15257996 20246187 22886994 24918384 26994916 30515992 40492374 45773988 53989832 61031984 80984748 87733477 91547976 107979664 161969496 175466954 183095952 263200431 323938992 350933908 526400862 701867816 1052801724 1403735632 2105603448 4211206896