Search a number
-
+
19006815168 = 2632112999813
BaseRepresentation
bin10001101100111001…
…001111101111000000
31211001121200020210100
4101230321033233000
5302411221041133
612422010002400
71242002156205
oct215471175700
954047606710
1019006815168
118073940610
123825416400
131a3b9b57c3
14cc442dcac
15763983e13
hex46ce4fbc0

19006815168 has 84 divisors (see below), whose sum is σ = 59432314968. Its totient is φ = 5759639040.

The previous prime is 19006815127. The next prime is 19006815199. The reversal of 19006815168 is 86151860091.

It is a super-3 number, since 3×190068151683 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1493571 + ... + 1506242.

Almost surely, 219006815168 is an apocalyptic number.

19006815168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

19006815168 is an abundant number, since it is smaller than the sum of its proper divisors (40425499800).

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

19006815168 is a wasteful number, since it uses less digits than its factorization.

19006815168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2999842 (or 2999829 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 19006815168 in words is "nineteen billion, six million, eight hundred fifteen thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 6336 2999813 5999626 8999439 11999252 17998878 23998504 26998317 32997943 35997756 47997008 53996634 65995886 71995512 95994016 98993829 107993268 131991772 143991024 191988032 197987658 215986536 263983544 287982048 296981487 395975316 431973072 527967088 575964096 593962974 791950632 863946144 1055934176 1187925948 1583901264 1727892288 2111868352 2375851896 3167802528 4751703792 6335605056 9503407584 19006815168