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20818377216 = 293371321967
BaseRepresentation
bin10011011000110111…
…110011101000000000
31222201212110010202000
4103120313303220000
5320114001032331
613321442024000
71334620200210
oct233067635000
958655403660
1020818377216
118913481a2a
124050048000
131c6a0c3400
141016c76240
1581ca230e6
hex4d8df3a00

20818377216 has 960 divisors, whose sum is σ = 81473356800. Its totient is φ = 5123948544.

The previous prime is 20818377193. The next prime is 20818377221. The reversal of 20818377216 is 61277381802.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 310722015 + ... + 310722081.

It is an arithmetic number, because the mean of its divisors is an integer number (84868080).

Almost surely, 220818377216 is an apocalyptic number.

20818377216 is a gapful number since it is divisible by the number (26) 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 20818377216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40736678400).

20818377216 is an abundant number, since it is smaller than the sum of its proper divisors (60654979584).

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

20818377216 is a wasteful number, since it uses less digits than its factorization.

20818377216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 20818377216 in words is "twenty billion, eight hundred eighteen million, three hundred seventy-seven thousand, two hundred sixteen".