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209329481088 = 2733713665603
BaseRepresentation
bin1100001011110100000…
…0100110010110000000
3202000022112100102121000
43002331000212112000
511412201321343323
6240055321132000
721060244142220
oct3027500462600
9660275312530
10209329481088
118085a042452
12346a002a000
131698011cca0
14a1bb182080
1556a2534e43
hex30bd026580

209329481088 has 256 divisors, whose sum is σ = 760386009600. Its totient is φ = 55207692288.

The previous prime is 209329481069. The next prime is 209329481089. The reversal of 209329481088 is 880184923902.

209329481088 is a `hidden beast` number, since 209 + 329 + 4 + 8 + 108 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (209329481089) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18306 + ... + 647297.

It is an arithmetic number, because the mean of its divisors is an integer number (2970257850).

Almost surely, 2209329481088 is an apocalyptic number.

209329481088 is a gapful number since it is divisible by the number (28) 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 209329481088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380193004800).

209329481088 is an abundant number, since it is smaller than the sum of its proper divisors (551056528512).

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

209329481088 is a wasteful number, since it uses less digits than its factorization.

209329481088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665646 (or 665628 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 209329481088 in words is "two hundred nine billion, three hundred twenty-nine million, four hundred eighty-one thousand, eighty-eight".