Search a number
-
+
16817052048 = 2432371732939
BaseRepresentation
bin11111010100101111…
…11101100110010000
31121102000020202111120
433222113331212100
5233420131131143
611420423442240
71133512404156
oct175227754620
947360222446
1016817052048
11714a873125
123313bb6380
131780129794
14b576993d6
156865da383
hex3ea5fd990

16817052048 has 160 divisors (see below), whose sum is σ = 46617016320. Its totient is φ = 5212247040.

The previous prime is 16817052047. The next prime is 16817052053. The reversal of 16817052048 is 84025071861.

It is not an unprimeable number, because it can be changed into a prime (16817052047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5720563 + ... + 5723501.

It is an arithmetic number, because the mean of its divisors is an integer number (291356352).

Almost surely, 216817052048 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 16817052048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23308508160).

16817052048 is an abundant number, since it is smaller than the sum of its proper divisors (29799964272).

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

16817052048 is a wasteful number, since it uses less digits than its factorization.

16817052048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3117 (or 3111 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The spelling of 16817052048 in words is "sixteen billion, eight hundred seventeen million, fifty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 71 73 92 138 142 146 184 213 219 276 284 292 368 426 438 552 568 584 852 876 1104 1136 1168 1633 1679 1704 1752 2939 3266 3358 3408 3504 4899 5037 5183 5878 6532 6716 8817 9798 10074 10366 11756 13064 13432 15549 17634 19596 20148 20732 23512 26128 26864 31098 35268 39192 40296 41464 47024 62196 67597 70536 78384 80592 82928 119209 124392 135194 141072 202791 208669 214547 238418 248784 270388 357627 405582 417338 429094 476836 540776 626007 643641 715254 811164 834676 858188 953672 1081552 1252014 1287282 1430508 1622328 1669352 1716376 1907344 2504028 2574564 2861016 3244656 3338704 3432752 4799387 4934581 5008056 5149128 5722032 9598774 9869162 10016112 10298256 14398161 14803743 15232837 19197548 19738324 28796322 29607486 30465674 38395096 39476648 45698511 57592644 59214972 60931348 76790192 78953296 91397022 115185288 118429944 121862696 182794044 230370576 236859888 243725392 350355251 365588088 700710502 731176176 1051065753 1401421004 2102131506 2802842008 4204263012 5605684016 8408526024 16817052048