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194275501056 = 2103472133677
BaseRepresentation
bin1011010011101110111…
…0001110010000000000
3200120110101122000020000
42310323232032100000
511140334012013211
6225125434120000
720015220340500
oct2647356162000
9616411560200
10194275501056
117543450143a
123179a580000
13154213540b0
14958db09a00
1550c0b0b656
hex2d3bb8e400

194275501056 has 660 divisors, whose sum is σ = 726972243228. Its totient is φ = 51223560192.

The previous prime is 194275500983. The next prime is 194275501139. The reversal of 194275501056 is 650105572491.

It is a happy number.

194275501056 is a `hidden beast` number, since 1 + 9 + 42 + 7 + 550 + 1 + 0 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 90230547456 + 104044953600 = 300384^2 + 322560^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 52833490 + ... + 52837166.

Almost surely, 2194275501056 is an apocalyptic number.

194275501056 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 194275501056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363486121614).

194275501056 is an abundant number, since it is smaller than the sum of its proper divisors (532696742172).

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

194275501056 is a wasteful number, since it uses less digits than its factorization.

194275501056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3736 (or 3702 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 194275501056 in words is "one hundred ninety-four billion, two hundred seventy-five million, five hundred one thousand, fifty-six".