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209448047340 = 223257299759093
BaseRepresentation
bin1100001100010000010…
…0111001001011101100
3202000121210110012220200
43003010010321023230
511412422200003330
6240115154313500
721063214012350
oct3030404711354
9660553405820
10209448047340
118090aa64a94
1234713888890
131699b86442c
14a1ccc07460
1556acb55a60
hex30c41392ec

209448047340 has 288 divisors, whose sum is σ = 758880420480. Its totient is φ = 45745717248.

The previous prime is 209448047329. The next prime is 209448047381. The reversal of 209448047340 is 43740844902.

209448047340 is a `hidden beast` number, since 2 + 0 + 94 + 480 + 47 + 3 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3514834 + ... + 3573926.

It is an arithmetic number, because the mean of its divisors is an integer number (2635001460).

Almost surely, 2209448047340 is an apocalyptic number.

209448047340 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 209448047340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379440210240).

209448047340 is an abundant number, since it is smaller than the sum of its proper divisors (549432373140).

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

209448047340 is a wasteful number, since it uses less digits than its factorization.

209448047340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59241 (or 59236 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 209448047340 in words is "two hundred nine billion, four hundred forty-eight million, forty-seven thousand, three hundred forty".