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221016871680 = 28351179107619
BaseRepresentation
bin1100110111010110100…
…0011101001100000000
3210010111001020101110020
43031311220131030000
512110120304343210
6245311142333440
721653001261243
oct3156550351400
9703431211406
10221016871680
1185807297a40
1236a0212a280
1317ac3590517
14a9a946725a
155b38605770
hex3375a1d300

221016871680 has 576 divisors, whose sum is σ = 788349542400. Its totient is φ = 52322549760.

The previous prime is 221016871661. The next prime is 221016871703. The reversal of 221016871680 is 86178610122.

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 63 ways as a sum of consecutive naturals, for example, 357054411 + ... + 357055029.

It is an arithmetic number, because the mean of its divisors is an integer number (1368662400).

Almost surely, 2221016871680 is an apocalyptic number.

221016871680 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 221016871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394174771200).

221016871680 is an abundant number, since it is smaller than the sum of its proper divisors (567332670720).

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

221016871680 is a wasteful number, since it uses less digits than its factorization.

221016871680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The spelling of 221016871680 in words is "two hundred twenty-one billion, sixteen million, eight hundred seventy-one thousand, six hundred eighty".