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190146454128 = 24351923111913
BaseRepresentation
bin1011000100010110011…
…1001010001001110000
3200011210122002200200000
42301011213022021300
511103404443013003
6223204014230000
716511002123011
oct2610547121160
9604718080600
10190146454128
1173705797364
1230a277b5300
1314c13a8b967
1492bb5a3008
154e2d3951a3
hex2c459ca270

190146454128 has 240 divisors, whose sum is σ = 606162036480. Its totient is φ = 57435028992.

The previous prime is 190146454117. The next prime is 190146454133. The reversal of 190146454128 is 821454641091.

190146454128 is a `hidden beast` number, since 1 + 90 + 14 + 6 + 4 + 541 + 2 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1643100 + ... + 1755012.

It is an arithmetic number, because the mean of its divisors is an integer number (2525675152).

Almost surely, 2190146454128 is an apocalyptic number.

190146454128 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 190146454128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303081018240).

190146454128 is an abundant number, since it is smaller than the sum of its proper divisors (416015582352).

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

190146454128 is a wasteful number, since it uses less digits than its factorization.

190146454128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111978 (or 111960 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 190146454128 in words is "one hundred ninety billion, one hundred forty-six million, four hundred fifty-four thousand, one hundred twenty-eight".