Search a number
-
+
21354555167300 = 22523147991435417
BaseRepresentation
bin1001101101011111111101…
…01011001101001001000100
32210121110211122222121022202
410312233332223031021010
510244333112110323200
6113230051444214032
74332546532665215
oct466577653151104
983543748877282
1021354555167300
116893463752953
12248a7a539a318
13bbb958a9ba54
1453b7cd0c340c
152707334da1d5
hex136bfeacd244

21354555167300 has 72 divisors (see below), whose sum is σ = 47844204441600. Its totient is φ = 8264551161600.

The previous prime is 21354555167293. The next prime is 21354555167347. The reversal of 21354555167300 is 376155545312.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14159192 + ... + 15594608.

Almost surely, 221354555167300 is an apocalyptic number.

21354555167300 is a gapful number since it is divisible by the number (20) 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 21354555167300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23922102220800).

21354555167300 is an abundant number, since it is smaller than the sum of its proper divisors (26489649274300).

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

21354555167300 is a wasteful number, since it uses less digits than its factorization.

21354555167300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440261 (or 1440254 counting only the distinct ones).

The product of its (nonzero) digits is 1890000, while the sum is 47.

The spelling of 21354555167300 in words is "twenty-one trillion, three hundred fifty-four billion, five hundred fifty-five million, one hundred sixty-seven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 1550 3100 4799 9598 19196 23995 47990 95980 119975 148769 239950 297538 479900 595076 743845 1435417 1487690 2870834 2975380 3719225 5741668 7177085 7438450 14354170 14876900 28708340 35885425 44497927 71770850 88995854 143541700 177991708 222489635 444979270 889958540 1112448175 2224896350 4449792700 6888566183 13777132366 27554264732 34442830915 68885661830 137771323660 172214154575 213545551673 344428309150 427091103346 688856618300 854182206692 1067727758365 2135455516730 4270911033460 5338638791825 10677277583650 21354555167300