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216858069120 = 27357211209549
BaseRepresentation
bin1100100111110110111…
…1111000100010000000
3202201202012201022211210
43021331233320202000
512023111131202440
6243342341010120
721444642113400
oct3117557704200
9681665638753
10216858069120
1183a727aa030
12360413b3940
13175acaaa3c4
14a6d2db6800
155993462a80
hex327dbf8880

216858069120 has 384 divisors, whose sum is σ = 877193064000. Its totient is φ = 45061201920.

The previous prime is 216858069097. The next prime is 216858069139. The reversal of 216858069120 is 21960858612.

216858069120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 216858069120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 930106 + ... + 1139654.

Almost surely, 2216858069120 is an apocalyptic number.

216858069120 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 216858069120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438596532000).

216858069120 is an abundant number, since it is smaller than the sum of its proper divisors (660334994880).

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

216858069120 is a wasteful number, since it uses less digits than its factorization.

216858069120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209596 (or 209577 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The spelling of 216858069120 in words is "two hundred sixteen billion, eight hundred fifty-eight million, sixty-nine thousand, one hundred twenty".