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1914910368 = 253729971013
BaseRepresentation
bin111001000100011…
…0011011010100000
311221110020112012020
41302020303122200
512410204112433
6514003101440
765311320030
oct16210633240
94843215166
101914910368
118a2a0a558
12455371880
13246954477
141424698c0
15b31a5cb3
hex722336a0

1914910368 has 192 divisors, whose sum is σ = 6010018560. Its totient is φ = 522289152.

The previous prime is 1914910297. The next prime is 1914910369. The reversal of 1914910368 is 8630194191.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1914910369) 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 31 ways as a sum of consecutive naturals, for example, 1889830 + ... + 1890842.

It is an arithmetic number, because the mean of its divisors is an integer number (31302180).

Almost surely, 21914910368 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 1914910368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3005009280).

1914910368 is an abundant number, since it is smaller than the sum of its proper divisors (4095108192).

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

1914910368 is a wasteful number, since it uses less digits than its factorization.

1914910368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 1914910368 is about 43759.6888471570. The cubic root of 1914910368 is about 1241.7937895541.

The spelling of 1914910368 in words is "one billion, nine hundred fourteen million, nine hundred ten thousand, three hundred sixty-eight".