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194400034992 = 24351714512027
BaseRepresentation
bin1011010100001100100…
…1010010000010110000
3200120210001221222200000
42311003021102002300
511141112402104432
6225150043230000
720021262014262
oct2650311220260
9616701858600
10194400034992
117549882a649
1231814218300
13154410a7907
1495a2485b32
1550cba0a57c
hex2d432520b0

194400034992 has 240 divisors, whose sum is σ = 598094969472. Its totient is φ = 60916147200.

The previous prime is 194400034987. The next prime is 194400034993. The reversal of 194400034992 is 299430004491.

194400034992 is a modest number, since divided by 34992 gives 19440 as remainder.

It is not an unprimeable number, because it can be changed into a prime (194400034993) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95904283 + ... + 95906309.

Almost surely, 2194400034992 is an apocalyptic number.

194400034992 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 194400034992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299047484736).

194400034992 is an abundant number, since it is smaller than the sum of its proper divisors (403694934480).

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

194400034992 is a wasteful number, since it uses less digits than its factorization.

194400034992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3518 (or 3500 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 194400034992 in words is "one hundred ninety-four billion, four hundred million, thirty-four thousand, nine hundred ninety-two".