Search a number
-
+
16818617472 = 273139315097
BaseRepresentation
bin11111010100111011…
…11011110010000000
31121102010012021212020
433222131323302000
5233421031224342
611420521201440
71133531614116
oct175235736200
947363167766
1016818617472
117150742268
123314630280
131780557177
14b57985ab6
156867e90ec
hex3ea77bc80

16818617472 has 64 divisors (see below), whose sum is σ = 44995994400. Its totient is φ = 5565855744.

The previous prime is 16818617471. The next prime is 16818617479. The reversal of 16818617472 is 27471681861.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (16818617471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104173 + ... + 210924.

Almost surely, 216818617472 is an apocalyptic number.

16818617472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

16818617472 is an abundant number, since it is smaller than the sum of its proper divisors (28177376928).

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

16818617472 is a wasteful number, since it uses less digits than its factorization.

16818617472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315253 (or 315241 counting only the distinct ones).

The product of its digits is 903168, while the sum is 51.

The spelling of 16818617472 in words is "sixteen billion, eight hundred eighteen million, six hundred seventeen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 139 192 278 384 417 556 834 1112 1668 2224 3336 4448 6672 8896 13344 17792 26688 53376 315097 630194 945291 1260388 1890582 2520776 3781164 5041552 7562328 10083104 15124656 20166208 30249312 40332416 43798483 60498624 87596966 120997248 131395449 175193932 262790898 350387864 525581796 700775728 1051163592 1401551456 2102327184 2803102912 4204654368 5606205824 8409308736 16818617472