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1919421504 = 2632711133329
BaseRepresentation
bin111001001101000…
…0000110001000000
311221202201201022100
41302122000301000
512412332442004
6514243510400
765364546030
oct16232006100
94852651270
101919421504
118a5510870
12456988400
13247873890
14142cc18c0
15b3797739
hex72680c40

1919421504 has 336 divisors, whose sum is σ = 7389083520. Its totient is φ = 460062720.

The previous prime is 1919421407. The next prime is 1919421523. The reversal of 1919421504 is 4051249191.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 574912 + ... + 578240.

It is an arithmetic number, because the mean of its divisors is an integer number (21991320).

Almost surely, 21919421504 is an apocalyptic number.

1919421504 is a gapful number since it is divisible by the number (14) 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 1919421504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3694541760).

1919421504 is an abundant number, since it is smaller than the sum of its proper divisors (5469662016).

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

1919421504 is a wasteful number, since it uses less digits than its factorization.

1919421504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3378 (or 3365 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1919421504 is about 43811.2029508435. The cubic root of 1919421504 is about 1242.7681619554.

The spelling of 1919421504 in words is "one billion, nine hundred nineteen million, four hundred twenty-one thousand, five hundred four".