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216445504652640 = 2533587535724109
BaseRepresentation
bin110001001101101100100101…
…011010110000010101100000
31001101100222200101000002122000
4301031230211122300111200
5211332220343142341030
62044201405300244000
763406446244365144
oct6115544532602540
91041328611002560
10216445504652640
1162a6a02872115a
12203387096a0600
1393a095371a393
143b640383bb224
151a0539e738860
hexc4db256b0560

216445504652640 has 192 divisors, whose sum is σ = 757645947172800. Its totient is φ = 57712196984832.

The previous prime is 216445504652639. The next prime is 216445504652687. The reversal of 216445504652640 is 46256405544612.

216445504652640 is a `hidden beast` number, since 2 + 1 + 6 + 4 + 4 + 550 + 4 + 65 + 26 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34950906 + ... + 40675014.

It is an arithmetic number, because the mean of its divisors is an integer number (3946072641525).

Almost surely, 2216445504652640 is an apocalyptic number.

216445504652640 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 216445504652640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378822973586400).

216445504652640 is an abundant number, since it is smaller than the sum of its proper divisors (541200442520160).

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

216445504652640 is a wasteful number, since it uses less digits than its factorization.

216445504652640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5732886 (or 5732872 counting only the distinct ones).

The product of its (nonzero) digits is 27648000, while the sum is 54.

The spelling of 216445504652640 in words is "two hundred sixteen trillion, four hundred forty-five billion, five hundred four million, six hundred fifty-two thousand, six hundred forty".