Search a number
-
+
21345814680 = 2335193192119
BaseRepresentation
bin10011111000010011…
…110100100010011000
32001002121220201220220
4103320103310202120
5322204012032210
613450042520040
71353653300601
oct237023644230
961077821826
1021345814680
119064179563
124178806020
132022463c98
141066d30da8
1584deaac70
hex4f84f4898

21345814680 has 64 divisors (see below), whose sum is σ = 64071302400. Its totient is φ = 5689207680.

The previous prime is 21345814663. The next prime is 21345814697. The reversal of 21345814680 is 8641854312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21345814663) and next prime (21345814697).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185661 + ... + 277779.

It is an arithmetic number, because the mean of its divisors is an integer number (1001114100).

Almost surely, 221345814680 is an apocalyptic number.

21345814680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21345814680 is an abundant number, since it is smaller than the sum of its proper divisors (42725487720).

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

21345814680 is a wasteful number, since it uses less digits than its factorization.

21345814680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94064 (or 94060 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 21345814680 in words is "twenty-one billion, three hundred forty-five million, eight hundred fourteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1931 3862 5793 7724 9655 11586 15448 19310 23172 28965 38620 46344 57930 77240 92119 115860 184238 231720 276357 368476 460595 552714 736952 921190 1105428 1381785 1842380 2210856 2763570 3684760 5527140 11054280 177881789 355763578 533645367 711527156 889408945 1067290734 1423054312 1778817890 2134581468 2668226835 3557635780 4269162936 5336453670 7115271560 10672907340 21345814680