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190428234048 = 26321370935869
BaseRepresentation
bin1011000101011001101…
…0000100000101000000
3200012112021022121001100
42301112122010011000
511104444111442143
6223252001534400
716520663165553
oct2612632040500
9605467277040
10190428234048
117383a856828
1230aa6044400
1314c5a27a540
149306b9269a
154e47ea56d3
hex2c56684140

190428234048 has 168 divisors, whose sum is σ = 588660417800. Its totient is φ = 58509029376.

The previous prime is 190428234047. The next prime is 190428234049. The reversal of 190428234048 is 840432824091.

190428234048 is a `hidden beast` number, since 190 + 4 + 2 + 82 + 340 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (190428234047) and next prime (190428234049).

It can be written as a sum of positive squares in 4 ways, for example, as 9503910144 + 180924323904 = 97488^2 + 425352^2 .

It is a junction number, because it is equal to n+sod(n) for n = 190428233994 and 190428234012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190428234047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5291058 + ... + 5326926.

Almost surely, 2190428234048 is an apocalyptic number.

190428234048 is a gapful number since it is divisible by the number (18) 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 190428234048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294330208900).

190428234048 is an abundant number, since it is smaller than the sum of its proper divisors (398232183752).

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

190428234048 is a wasteful number, since it uses less digits than its factorization.

190428234048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36609 (or 36596 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 190428234048 in words is "one hundred ninety billion, four hundred twenty-eight million, two hundred thirty-four thousand, forty-eight".