Search a number
-
+
16813070316 = 2233726747419
BaseRepresentation
bin11111010100010001…
…10001011111101100
31121101201202110121000
433222020301133230
5233413121222231
611420202240300
71133433511500
oct175210613754
947351673530
1016813070316
1171485a3639
1233127b6090
13177c364323
14b56d40300
156860a06e6
hex3ea2317ec

16813070316 has 144 divisors (see below), whose sum is σ = 51463977600. Its totient is φ = 4731937056.

The previous prime is 16813070279. The next prime is 16813070333. The reversal of 16813070316 is 61307031861.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 330855 + ... + 378273.

Almost surely, 216813070316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16813070316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25731988800).

16813070316 is an abundant number, since it is smaller than the sum of its proper divisors (34650907284).

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

16813070316 is a wasteful number, since it uses less digits than its factorization.

16813070316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47513 (or 47498 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 16813070316 in words is "sixteen billion, eight hundred thirteen million, seventy thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 67 84 98 108 126 134 147 189 196 201 252 268 294 378 402 441 469 588 603 756 804 882 938 1206 1323 1407 1764 1809 1876 2412 2646 2814 3283 3618 4221 5292 5628 6566 7236 8442 9849 12663 13132 16884 19698 25326 29547 39396 47419 50652 59094 88641 94838 118188 142257 177282 189676 284514 331933 354564 426771 569028 663866 853542 995799 1280313 1327732 1707084 1991598 2323531 2560626 2987397 3177073 3983196 4647062 5121252 5974794 6354146 6970593 8962191 9294124 9531219 11949588 12708292 13941186 17924382 19062438 20911779 22239511 27882372 28593657 35848764 38124876 41823558 44479022 57187314 62735337 66718533 83647116 85780971 88958044 114374628 125470674 133437066 155676577 171561942 200155599 250941348 266874132 311353154 343123884 400311198 467029731 600466797 622706308 800622396 934059462 1200933594 1401089193 1868118924 2401867188 2802178386 4203267579 5604356772 8406535158 16813070316