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16149476808 = 23321736735951
BaseRepresentation
bin11110000101001010…
…10111010111001000
31112200111002102102200
433002211113113020
5231033231224213
611230255200200
71111125200523
oct170245272710
945614072380
1016149476808
116937a5aa53
123168516060
1316a4a30c4a
14ad2b61bba
15647bc0273
hex3c29575c8

16149476808 has 96 divisors (see below), whose sum is σ = 46438479360. Its totient is φ = 5052556800.

The previous prime is 16149476801. The next prime is 16149476831. The reversal of 16149476808 is 80867494161.

16149476808 is a `hidden beast` number, since 1 + 6 + 1 + 494 + 76 + 80 + 8 = 666.

16149476808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (16149476801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 431233 + ... + 467183.

It is an arithmetic number, because the mean of its divisors is an integer number (483734160).

Almost surely, 216149476808 is an apocalyptic number.

16149476808 is a gapful number since it is divisible by the number (18) 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 16149476808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23219239680).

16149476808 is an abundant number, since it is smaller than the sum of its proper divisors (30289002552).

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

16149476808 is a wasteful number, since it uses less digits than its factorization.

16149476808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36347 (or 36340 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 16149476808 in words is "sixteen billion, one hundred forty-nine million, four hundred seventy-six thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 367 408 612 734 1101 1224 1468 2202 2936 3303 4404 6239 6606 8808 12478 13212 18717 24956 26424 35951 37434 49912 56151 71902 74868 107853 112302 143804 149736 215706 224604 287608 323559 431412 449208 611167 647118 862824 1222334 1294236 1833501 2444668 2588472 3667002 4889336 5500503 7334004 11001006 13194017 14668008 22002012 26388034 39582051 44004024 52776068 79164102 105552136 118746153 158328204 224298289 237492306 316656408 448596578 474984612 672894867 897193156 949969224 1345789734 1794386312 2018684601 2691579468 4037369202 5383158936 8074738404 16149476808