Search a number
-
+
194728145976 = 2332713311277549
BaseRepresentation
bin1011010101011010110…
…0111011010000111000
3200121121221100202022200
42311112230323100320
511142300401132401
6225242403550200
720032354634130
oct2652654732070
9617557322280
10194728145976
1175646a64251
12318a608b360
1315494068920
1495d3c95ac0
1550ea71d686
hex2d56b3b438

194728145976 has 384 divisors, whose sum is σ = 675397632000. Its totient is φ = 49302328320.

The previous prime is 194728145959. The next prime is 194728145993. The reversal of 194728145976 is 679541827491.

194728145976 is a `hidden beast` number, since 1 + 9 + 4 + 7 + 28 + 14 + 597 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (194728145959) and next prime (194728145993).

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

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, 25791450 + ... + 25798998.

It is an arithmetic number, because the mean of its divisors is an integer number (1758848000).

Almost surely, 2194728145976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 194728145976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337698816000).

194728145976 is an abundant number, since it is smaller than the sum of its proper divisors (480669486024).

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

194728145976 is a wasteful number, since it uses less digits than its factorization.

194728145976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7739 (or 7732 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 63.

The spelling of 194728145976 in words is "one hundred ninety-four billion, seven hundred twenty-eight million, one hundred forty-five thousand, nine hundred seventy-six".