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1929394368 = 2632112193147
BaseRepresentation
bin111001100000000…
…0011100011000000
311222110111101111200
41303000003203000
512422411104433
6515241341200
765545403316
oct16300034300
94873441450
101929394368
11900102600
1245a197800
13249955c95
1414435a0b6
15b45b7613
hex730038c0

1929394368 has 504 divisors, whose sum is σ = 6745589760. Its totient is φ = 524620800.

The previous prime is 1929394333. The next prime is 1929394373. The reversal of 1929394368 is 8634939291.

1929394368 is a `hidden beast` number, since 192 + 9 + 3 + 94 + 368 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41050921 + ... + 41050967.

Almost surely, 21929394368 is an apocalyptic number.

1929394368 is a gapful number since it is divisible by the number (18) 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 1929394368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3372794880).

1929394368 is an abundant number, since it is smaller than the sum of its proper divisors (4816195392).

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

1929394368 is a wasteful number, since it uses less digits than its factorization.

1929394368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 113 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The square root of 1929394368 is about 43924.8718609400. The cubic root of 1929394368 is about 1244.9168222362.

The spelling of 1929394368 in words is "one billion, nine hundred twenty-nine million, three hundred ninety-four thousand, three hundred sixty-eight".