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10198314016 = 2511173167471
BaseRepresentation
bin10010111111101110…
…11110110000100000
3222022201221000210221
421133313132300200
5131341232022031
64403545132424
7510503144632
oct113767366040
928281830727
1010198314016
1143637562a0
121b8748a114
13c66b04247
146ca626a52
153ea4d2a11
hex25fddec20

10198314016 has 48 divisors (see below), whose sum is σ = 22029936768. Its totient is φ = 4608774400.

The previous prime is 10198314013. The next prime is 10198314023. The reversal of 10198314016 is 61041389101.

It is not an unprimeable number, because it can be changed into a prime (10198314013) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 22840 + ... + 144631.

It is an arithmetic number, because the mean of its divisors is an integer number (458957016).

Almost surely, 210198314016 is an apocalyptic number.

10198314016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10198314016 is an abundant number, since it is smaller than the sum of its proper divisors (11831622752).

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

10198314016 is a wasteful number, since it uses less digits than its factorization.

10198314016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167665 (or 167657 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 34.

The spelling of 10198314016 in words is "ten billion, one hundred ninety-eight million, three hundred fourteen thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 88 173 176 346 352 692 1384 1903 2768 3806 5536 7612 15224 30448 60896 167471 334942 669884 1339768 1842181 2679536 3684362 5359072 7368724 14737448 28972483 29474896 57944966 58949792 115889932 231779864 318697313 463559728 637394626 927119456 1274789252 2549578504 5099157008 10198314016