Search a number
-
+
1919085012 = 22321343472029
BaseRepresentation
bin111001001100010…
…1110100111010100
311221202002121201200
41302120232213110
512412241210022
6514232352500
765361645015
oct16230564724
94852077650
101919085012
118a5300a79
12456845730
13247786680
14142c3500c
15b372cbac
hex7262e9d4

1919085012 has 144 divisors (see below), whose sum is σ = 5462096640. Its totient is φ = 564205824.

The previous prime is 1919084929. The next prime is 1919085019. The reversal of 1919085012 is 2105809191.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1919085019) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 944814 + ... + 946842.

Almost surely, 21919085012 is an apocalyptic number.

1919085012 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 1919085012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2731048320).

1919085012 is an abundant number, since it is smaller than the sum of its proper divisors (3543011628).

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

1919085012 is a wasteful number, since it uses less digits than its factorization.

1919085012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2142 (or 2137 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 36.

The square root of 1919085012 is about 43807.3625318850. The cubic root of 1919085012 is about 1242.6955348673.

The spelling of 1919085012 in words is "one billion, nine hundred nineteen million, eighty-five thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 43 47 52 78 86 94 117 129 141 156 172 188 234 258 282 387 423 468 516 559 564 611 774 846 1118 1222 1548 1677 1692 1833 2021 2029 2236 2444 3354 3666 4042 4058 5031 5499 6063 6087 6708 7332 8084 8116 10062 10998 12126 12174 18189 18261 20124 21996 24252 24348 26273 26377 36378 36522 52546 52754 72756 73044 78819 79131 87247 95363 105092 105508 157638 158262 174494 190726 236457 237393 261741 286089 315276 316524 348988 381452 472914 474786 523482 572178 785223 858267 945828 949572 1046964 1134211 1144356 1239719 1570446 1716534 2268422 2479438 3140892 3402633 3433068 3719157 4100609 4536844 4958876 6805266 7438314 8201218 10207899 11157471 12301827 13610532 14876628 16402436 20415798 22314942 24603654 36905481 40831596 44629884 49207308 53307917 73810962 106615834 147621924 159923751 213231668 319847502 479771253 639695004 959542506 1919085012