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216389067840 = 263351147193251
BaseRepresentation
bin1100100110000111001…
…0110010010001000000
3202200112112012121001000
43021201302302101000
512021131100132330
6243224024412000
721430215504621
oct3114162622100
9680475177030
10216389067840
1183851a95470
1235b30317000
1317536889a5a
14a68a9ada48
1559671be560
hex3261cb2440

216389067840 has 896 divisors, whose sum is σ = 858301194240. Its totient is φ = 50872320000.

The previous prime is 216389067799. The next prime is 216389067847. The reversal of 216389067840 is 48760983612.

216389067840 is a `hidden beast` number, since 216 + 389 + 0 + 6 + 7 + 8 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (216389067847) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 862107715 + ... + 862107965.

It is an arithmetic number, because the mean of its divisors is an integer number (957925440).

Almost surely, 2216389067840 is an apocalyptic number.

216389067840 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 216389067840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429150597120).

216389067840 is an abundant number, since it is smaller than the sum of its proper divisors (641912126400).

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

216389067840 is a wasteful number, since it uses less digits than its factorization.

216389067840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 216389067840 in words is "two hundred sixteen billion, three hundred eighty-nine million, sixty-seven thousand, eight hundred forty".