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1914009012 = 2232479531187
BaseRepresentation
bin111001000010101…
…0111010110110100
311221101112201202200
41302011113112310
512404441242022
6513531504500
765300544126
oct16205272664
94841481680
101914009012
118a2454333
12454bb8130
132466ca116
141422b3216
15b3078bac
hex721575b4

1914009012 has 72 divisors (see below), whose sum is σ = 4950481536. Its totient is φ = 623247744.

The previous prime is 1914009007. The next prime is 1914009043. The reversal of 1914009012 is 2109004191.

It is a super-2 number, since 2×19140090122 = 7326860996034432288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1611883 + ... + 1613069.

It is an arithmetic number, because the mean of its divisors is an integer number (68756688).

Almost surely, 21914009012 is an apocalyptic number.

1914009012 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 1914009012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2475240768).

1914009012 is an abundant number, since it is smaller than the sum of its proper divisors (3036472524).

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

1914009012 is a wasteful number, since it uses less digits than its factorization.

1914009012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2197 (or 2192 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 1914009012 is about 43749.3887043008. The cubic root of 1914009012 is about 1241.5989198677.

The spelling of 1914009012 in words is "one billion, nine hundred fourteen million, nine thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 953 1187 1692 1906 2374 2859 3561 3812 4748 5718 7122 8577 10683 11436 14244 17154 21366 34308 42732 44791 55789 89582 111578 134373 167367 179164 223156 268746 334734 403119 502101 537492 669468 806238 1004202 1131211 1612476 2008404 2262422 3393633 4524844 6787266 10180899 13574532 20361798 40723596 53166917 106333834 159500751 212667668 319001502 478502253 638003004 957004506 1914009012