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16799135616 = 27341795311
BaseRepresentation
bin11111010010100111…
…00111011110000000
31121100202112111210000
433221103213132000
5233401034314431
611414543440000
71133204203524
oct175123473600
947322474700
1016799135616
11714074625a
123309bb6000
1317794c5843
14b55153d84
15684c4b9e6
hex3e94e7780

16799135616 has 160 divisors (see below), whose sum is σ = 52935331680. Its totient is φ = 5270261760.

The previous prime is 16799135609. The next prime is 16799135629. The reversal of 16799135616 is 61653199761.

It is a happy number.

16799135616 is a `hidden beast` number, since 1 + 6 + 7 + 9 + 9 + 13 + 5 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 128601 + ... + 223911.

It is an arithmetic number, because the mean of its divisors is an integer number (330845823).

Almost surely, 216799135616 is an apocalyptic number.

16799135616 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 16799135616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26467665840).

16799135616 is an abundant number, since it is smaller than the sum of its proper divisors (36136196064).

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

16799135616 is an equidigital number, since it uses as much as digits as its factorization.

16799135616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95354 (or 95333 counting only the distinct ones).

The product of its digits is 1837080, while the sum is 54.

The spelling of 16799135616 in words is "sixteen billion, seven hundred ninety-nine million, one hundred thirty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 128 136 144 153 162 192 204 216 272 288 306 324 384 408 432 459 544 576 612 648 816 864 918 1088 1152 1224 1296 1377 1632 1728 1836 2176 2448 2592 2754 3264 3456 3672 4896 5184 5508 6528 7344 9792 10368 11016 14688 19584 22032 29376 44064 58752 88128 95311 176256 190622 285933 381244 571866 762488 857799 1143732 1524976 1620287 1715598 2287464 2573397 3049952 3240574 3431196 4574928 4860861 5146794 6099904 6481148 6862392 7720191 9149856 9721722 10293588 12199808 12962296 13724784 14582583 15440382 18299712 19443444 20587176 25924592 27449568 29165166 30880764 36599424 38886888 41174352 43747749 51849184 54899136 58330332 61761528 77773776 82348704 87495498 103698368 109798272 116660664 123523056 131243247 155547552 164697408 174990996 207396736 233321328 247046112 262486494 311095104 329394816 349981992 466642656 494092224 524972988 622190208 699963984 933285312 988184448 1049945976 1399927968 1866570624 2099891952 2799855936 4199783904 5599711872 8399567808 16799135616