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21191611896 = 23327133234373
BaseRepresentation
bin10011101111000111…
…100101010111111000
32000200212202102110200
4103233013211113320
5321400023040041
613422453442200
71350101505030
oct235707452770
960625672420
1021191611896
118a95126744
124135040360
131cc9523130
1410506708c0
1584069b1b6
hex4ef1e55f8

21191611896 has 96 divisors (see below), whose sum is σ = 70638728160. Its totient is φ = 5588994816.

The previous prime is 21191611891. The next prime is 21191611921. The reversal of 21191611896 is 69811619112.

21191611896 is a `hidden beast` number, since 21 + 1 + 9 + 1 + 611 + 8 + 9 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21191611891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1610635 + ... + 1623738.

It is an arithmetic number, because the mean of its divisors is an integer number (735820085).

Almost surely, 221191611896 is an apocalyptic number.

21191611896 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

21191611896 is an abundant number, since it is smaller than the sum of its proper divisors (49447116264).

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

21191611896 is a wasteful number, since it uses less digits than its factorization.

21191611896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3234405 (or 3234398 counting only the distinct ones).

The product of its digits is 46656, while the sum is 45.

The spelling of 21191611896 in words is "twenty-one billion, one hundred ninety-one million, six hundred eleven thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 2184 3276 6552 3234373 6468746 9703119 12937492 19406238 22640611 25874984 29109357 38812476 42046849 45281222 58218714 67921833 77624952 84093698 90562444 116437428 126140547 135843666 168187396 181124888 203765499 232874856 252281094 271687332 294327943 336374792 378421641 407530998 504562188 543374664 588655886 756843282 815061996 882983829 1009124376 1177311772 1513686564 1630123992 1765967658 2354623544 2648951487 3027373128 3531935316 5297902974 7063870632 10595805948 21191611896