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209886971040 = 25335232293167
BaseRepresentation
bin1100001101111000111…
…1010000010010100000
3202001202101100212001000
43003132033100102200
511414322031033130
6240230514112000
721110123550315
oct3033617202240
9661671325030
10209886971040
11810157a594a
123481687b600
1316a3b7836b6
14a231220d0c
1556d6457260
hex30de3d04a0

209886971040 has 576 divisors, whose sum is σ = 794663654400. Its totient is φ = 51673982976.

The previous prime is 209886971033. The next prime is 209886971071. The reversal of 209886971040 is 40179688902.

It is a super-2 number, since 2×2098869710402 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66271537 + ... + 66274703.

It is an arithmetic number, because the mean of its divisors is an integer number (1379624400).

Almost surely, 2209886971040 is an apocalyptic number.

209886971040 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 209886971040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397331827200).

209886971040 is an abundant number, since it is smaller than the sum of its proper divisors (584776683360).

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

209886971040 is a wasteful number, since it uses less digits than its factorization.

209886971040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3266 (or 3229 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 209886971040 in words is "two hundred nine billion, eight hundred eighty-six million, nine hundred seventy-one thousand, forty".