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216453602160864 = 25351710091622813
BaseRepresentation
bin110001001101110100001000…
…000100010011000011100000
31001101101202120200220010200000
4301031310020010103003200
5211332333434123121424
62044205225002100000
763410154021151635
oct6115641004230340
91041352520803600
10216453602160864
1162a72503538a12
122033a1a94aa600
1393a1644210a73
143b645a59c818c
151a056c55953c9
hexc4dd081130e0

216453602160864 has 288 divisors, whose sum is σ = 676557258380640. Its totient is φ = 67839669338112.

The previous prime is 216453602160799. The next prime is 216453602160923. The reversal of 216453602160864 is 468061206354612.

216453602160864 is a `hidden beast` number, since 2 + 1 + 6 + 4 + 5 + 3 + 6 + 0 + 21 + 608 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 216453602160864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132570322 + ... + 134193134.

It is an arithmetic number, because the mean of its divisors is an integer number (2349157147155).

Almost surely, 2216453602160864 is an apocalyptic number.

216453602160864 is a gapful number since it is divisible by the number (24) 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 216453602160864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338278629190320).

216453602160864 is an abundant number, since it is smaller than the sum of its proper divisors (460103656219776).

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

216453602160864 is a wasteful number, since it uses less digits than its factorization.

216453602160864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623864 (or 1623844 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 216453602160864 in words is "two hundred sixteen trillion, four hundred fifty-three billion, six hundred two million, one hundred sixty thousand, eight hundred sixty-four".