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216046641104 = 2472979783459
BaseRepresentation
bin1100100100110101100…
…0100001111111010000
3202122122122212111212022
43021031120201333100
512014430420003404
6243130033151012
721415560102140
oct3111530417720
9678578774768
10216046641104
1183696773168
1235a556bb468
13174b0955998
14a657314920
1559470ce8be
hex324d621fd0

216046641104 has 80 divisors (see below), whose sum is σ = 495512035200. Its totient is φ = 89285371392.

The previous prime is 216046641101. The next prime is 216046641127. The reversal of 216046641104 is 401146640612.

It is a super-2 number, since 2×2160466411042 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216046641101) 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, 2546927 + ... + 2630385.

It is an arithmetic number, because the mean of its divisors is an integer number (6193900440).

Almost surely, 2216046641104 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 216046641104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247756017600).

216046641104 is an abundant number, since it is smaller than the sum of its proper divisors (279465394096).

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

216046641104 is a wasteful number, since it uses less digits than its factorization.

216046641104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84300 (or 84294 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The spelling of 216046641104 in words is "two hundred sixteen billion, forty-six million, six hundred forty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 406 464 797 812 1594 1624 3188 3248 5579 6376 11158 12752 22316 23113 44632 46226 83459 89264 92452 161791 166918 184904 323582 333836 369808 584213 647164 667672 1168426 1294328 1335344 2336852 2420311 2588656 4673704 4840622 9347408 9681244 16942177 19362488 33884354 38724976 66516823 67768708 133033646 135537416 266067292 271074832 465617761 532134584 931235522 1064269168 1862471044 1928987867 3724942088 3857975734 7449884176 7715951468 13502915069 15431902936 27005830138 30863805872 54011660276 108023320552 216046641104