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194977069056 = 21133711223181
BaseRepresentation
bin1011010110010110001…
…0011111100000000000
3200122021021202100121000
42311211202133200000
511143303112202211
6225323215132000
720041466512320
oct2654542374000
9618237670530
10194977069056
1175764521900
1231955514000
13155037c20a3
149618d71280
1551124dd656
hex2d6589f800

194977069056 has 1152 divisors, whose sum is σ = 761269017600. Its totient is φ = 48173875200.

The previous prime is 194977069043. The next prime is 194977069109. The reversal of 194977069056 is 650960779491.

194977069056 is a `hidden beast` number, since 1 + 9 + 497 + 7 + 0 + 6 + 90 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×1949770690563 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 194977068984 and 194977069002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1077221286 + ... + 1077221466.

It is an arithmetic number, because the mean of its divisors is an integer number (660823800).

Almost surely, 2194977069056 is an apocalyptic number.

194977069056 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 194977069056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380634508800).

194977069056 is an abundant number, since it is smaller than the sum of its proper divisors (566291948544).

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

194977069056 is a wasteful number, since it uses less digits than its factorization.

194977069056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 63.

The spelling of 194977069056 in words is "one hundred ninety-four billion, nine hundred seventy-seven million, sixty-nine thousand, fifty-six".