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209119409376 = 253171913195113
BaseRepresentation
bin1100001011000001111…
…1001111010011100000
3201222202220001200101020
43002300133033103200
511411234032100001
6240022414405440
721052113436233
oct3026037172340
9658686050336
10209119409376
1180761500469
1234641800880
131694874a5b7
14a19b2db41a
15568dd8b736
hex30b07cf4e0

209119409376 has 192 divisors, whose sum is σ = 612403545600. Its totient is φ = 62093869056.

The previous prime is 209119409351. The next prime is 209119409407. The reversal of 209119409376 is 673904911902.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 40896996 + ... + 40902108.

It is an arithmetic number, because the mean of its divisors is an integer number (3189601800).

Almost surely, 2209119409376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 209119409376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306201772800).

209119409376 is an abundant number, since it is smaller than the sum of its proper divisors (403284136224).

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

209119409376 is a wasteful number, since it uses less digits than its factorization.

209119409376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6481 (or 6473 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 51.

The spelling of 209119409376 in words is "two hundred nine billion, one hundred nineteen million, four hundred nine thousand, three hundred seventy-six".