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194929016832 = 21435114451
BaseRepresentation
bin1011010110001010101…
…1001100000000000000
3200122010221100001100000
42311202223030000000
511143203312014312
6225314341200000
720040344206344
oct2654253140000
9618127301300
10194929016832
117573a391520
1231941400000
13154c6869414
149612823624
15510d19aadc
hex2d62acc000

194929016832 has 360 divisors, whose sum is σ = 637198091712. Its totient is φ = 59056128000.

The previous prime is 194929016797. The next prime is 194929016851. The reversal of 194929016832 is 238610929491.

194929016832 is a `hidden beast` number, since 1 + 9 + 492 + 90 + 1 + 68 + 3 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43792207 + ... + 43796657.

Almost surely, 2194929016832 is an apocalyptic number.

194929016832 is a gapful number since it is divisible by the number (12) 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 194929016832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318599045856).

194929016832 is an abundant number, since it is smaller than the sum of its proper divisors (442269074880).

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

194929016832 is an frugal number, since it uses more digits than its factorization.

194929016832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4505 (or 4467 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 194929016832 in words is "one hundred ninety-four billion, nine hundred twenty-nine million, sixteen thousand, eight hundred thirty-two".