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16803081216 = 210322118641
BaseRepresentation
bin11111010011000101…
…01010110000000000
31121101000221222010100
433221202222300000
5233403042044331
611415204202400
71133252555655
oct175142526000
947330858110
1016803081216
1171429a0689
12330b399400
13177a27770c
14b5589dc2c
1568527aae6
hex3e98aac00

16803081216 has 132 divisors (see below), whose sum is σ = 48754119544. Its totient is φ = 5573836800.

The previous prime is 16803081179. The next prime is 16803081263. The reversal of 16803081216 is 61218030861.

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

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, 1940256 + ... + 1948896.

Almost surely, 216803081216 is an apocalyptic number.

16803081216 is a gapful number since it is divisible by the number (16) 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 16803081216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24377059772).

16803081216 is an abundant number, since it is smaller than the sum of its proper divisors (31951038328).

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

16803081216 is a wasteful number, since it uses less digits than its factorization.

16803081216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8878 (or 8857 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 16803081216 in words is "sixteen billion, eight hundred three million, eighty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 211 256 288 384 422 512 576 633 768 844 1024 1152 1266 1536 1688 1899 2304 2532 3072 3376 3798 4608 5064 6752 7596 8641 9216 10128 13504 15192 17282 20256 25923 27008 30384 34564 40512 51846 54016 60768 69128 77769 81024 103692 108032 121536 138256 155538 162048 207384 216064 243072 276512 311076 324096 414768 486144 553024 622152 648192 829536 972288 1106048 1244304 1659072 1823251 1944576 2212096 2488608 3318144 3646502 4424192 4977216 5469753 6636288 7293004 8848384 9954432 10939506 13272576 14586008 16409259 19908864 21879012 26545152 29172016 32818518 39817728 43758024 58344032 65637036 79635456 87516048 116688064 131274072 175032096 233376128 262548144 350064192 466752256 525096288 700128384 933504512 1050192576 1400256768 1867009024 2100385152 2800513536 4200770304 5601027072 8401540608 16803081216