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216139166208 = 293472314773
BaseRepresentation
bin1100100101001011100…
…1011111001000000000
3202122220002222021110000
43021102321133020000
512020123111304313
6243143140240000
721421062412500
oct3112271371000
9678802867400
10216139166208
1183733a19699
1235a806a0000
13174c6b80074
14a66571ba00
1559502a9673
hex3252e5f200

216139166208 has 1200 divisors, whose sum is σ = 801971241984. Its totient is φ = 57689210880.

The previous prime is 216139166203. The next prime is 216139166209. The reversal of 216139166208 is 802661931612.

216139166208 is a `hidden beast` number, since 2 + 1 + 6 + 1 + 3 + 9 + 16 + 620 + 8 = 666.

It is a super-2 number, since 2×2161391662082 (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 (216139166203) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2960810460 + ... + 2960810532.

Almost surely, 2216139166208 is an apocalyptic number.

216139166208 is a gapful number since it is divisible by the number (28) 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 216139166208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400985620992).

216139166208 is an abundant number, since it is smaller than the sum of its proper divisors (585832075776).

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

216139166208 is an equidigital number, since it uses as much as digits as its factorization.

216139166208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 216139166208 in words is "two hundred sixteen billion, one hundred thirty-nine million, one hundred sixty-six thousand, two hundred eight".