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1914137892 = 223419729989
BaseRepresentation
bin111001000010111…
…0110110100100100
311221101210021120000
41302011312310210
512410004403032
6513534341300
765301621642
oct16205666444
94841707500
101914137892
118a2532147
1245505a830
13246743994
14142308192
15b30a1e7c
hex72176d24

1914137892 has 60 divisors (see below), whose sum is σ = 5029502940. Its totient is φ = 634785984.

The previous prime is 1914137861. The next prime is 1914137917. The reversal of 1914137892 is 2987314191.

1914137892 is a `hidden beast` number, since 191 + 4 + 1 + 378 + 92 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1784724516 + 129413376 = 42246^2 + 11376^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 48834 + ... + 78822.

It is an arithmetic number, because the mean of its divisors is an integer number (83825049).

Almost surely, 21914137892 is an apocalyptic number.

1914137892 is a gapful number since it is divisible by the number (12) 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 1914137892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2514751470).

1914137892 is an abundant number, since it is smaller than the sum of its proper divisors (3115365048).

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

1914137892 is a wasteful number, since it uses less digits than its factorization.

1914137892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30202 (or 30191 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 1914137892 is about 43750.8616143728. The cubic root of 1914137892 is about 1241.6267869739.

The spelling of 1914137892 in words is "one billion, nine hundred fourteen million, one hundred thirty-seven thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 197 324 394 591 788 1182 1773 2364 3546 5319 7092 10638 15957 21276 29989 31914 59978 63828 89967 119956 179934 269901 359868 539802 809703 1079604 1619406 2429109 3238812 4858218 5907833 9716436 11815666 17723499 23631332 35446998 53170497 70893996 106340994 159511491 212681988 319022982 478534473 638045964 957068946 1914137892