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194244398496 = 253217374126153
BaseRepresentation
bin1011010011100111011…
…1100100110110100000
3200120101020002211112100
42310321313210312200
511140303031222441
6225122403330400
720014362100461
oct2647167446640
9616336084470
10194244398496
1175418998645
1231790080a00
1315417a84305
149589930d68
1550bd015cb6
hex2d39de4da0

194244398496 has 288 divisors, whose sum is σ = 615357379728. Its totient is φ = 57844039680.

The previous prime is 194244398489. The next prime is 194244398501. The reversal of 194244398496 is 694893442491.

194244398496 is a `hidden beast` number, since 1 + 9 + 424 + 43 + 9 + 84 + 96 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 74182148496 + 120062250000 = 272364^2 + 346500^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 7414156 + ... + 7440308.

Almost surely, 2194244398496 is an apocalyptic number.

194244398496 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 194244398496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307678689864).

194244398496 is an abundant number, since it is smaller than the sum of its proper divisors (421112981232).

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

194244398496 is a wasteful number, since it uses less digits than its factorization.

194244398496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26264 (or 26253 counting only the distinct ones).

The product of its digits is 53747712, while the sum is 63.

The spelling of 194244398496 in words is "one hundred ninety-four billion, two hundred forty-four million, three hundred ninety-eight thousand, four hundred ninety-six".