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1914935148 = 2233717374027
BaseRepresentation
bin111001000100011…
…1001011101101100
311221110021210012000
41302020321131230
512410210411043
6514003412300
765311452210
oct16210713554
94843253160
101914935148
118a2a27135
12455384090
13246962829
14142474940
15b31ad2d3
hex7223976c

1914935148 has 192 divisors, whose sum is σ = 6171540480. Its totient is φ = 500898816.

The previous prime is 1914935089. The next prime is 1914935153. The reversal of 1914935148 is 8415394191.

1914935148 is a `hidden beast` number, since 1 + 91 + 49 + 3 + 514 + 8 = 666.

1914935148 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 473511 + ... + 477537.

It is an arithmetic number, because the mean of its divisors is an integer number (32143440).

Almost surely, 21914935148 is an apocalyptic number.

1914935148 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 1914935148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3085770240).

1914935148 is an abundant number, since it is smaller than the sum of its proper divisors (4256605332).

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

1914935148 is a wasteful number, since it uses less digits than its factorization.

1914935148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4101 (or 4093 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 1914935148 is about 43759.9719835376. The cubic root of 1914935148 is about 1241.7991460306.

The spelling of 1914935148 in words is "one billion, nine hundred fourteen million, nine hundred thirty-five thousand, one hundred forty-eight".