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189385247376 = 243213293449769
BaseRepresentation
bin1011000001100000111…
…1011000101010010000
3200002211120202101022100
42300120033120222100
511100330110404001
6223000303040400
716453100020233
oct2603017305220
9602746671270
10189385247376
1173355042476
12308548a0100
1314b2216c270
14924845541a
154dd6632586
hex2c183d8a90

189385247376 has 240 divisors, whose sum is σ = 574756182000. Its totient is φ = 57868812288.

The previous prime is 189385247353. The next prime is 189385247411. The reversal of 189385247376 is 673742583981.

189385247376 is a `hidden beast` number, since 1 + 8 + 9 + 38 + 524 + 7 + 3 + 76 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1254859776 + 188130387600 = 35424^2 + 433740^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 246274320 + ... + 246275088.

It is an arithmetic number, because the mean of its divisors is an integer number (2394817425).

Almost surely, 2189385247376 is an apocalyptic number.

189385247376 is a gapful number since it is divisible by the number (16) 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 189385247376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287378091000).

189385247376 is an abundant number, since it is smaller than the sum of its proper divisors (385370934624).

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

189385247376 is a wasteful number, since it uses less digits than its factorization.

189385247376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538 (or 1529 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 63.

The spelling of 189385247376 in words is "one hundred eighty-nine billion, three hundred eighty-five million, two hundred forty-seven thousand, three hundred seventy-six".