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102282273856 = 267257112
BaseRepresentation
bin101111101000001111…
…1111010010001000000
3100210000020010212102001
41133100133322101000
53133433230230411
6114553212033344
710250435661100
oct1372037722100
9323006125361
10102282273856
113a41774a244
12179a6162854
1398505b9449
144d441d7200
1529d97a8dc1
hex17d07fa440

102282273856 has 63 divisors (see below), whose sum is σ = 236145105687. Its totient is φ = 43827584640.

The previous prime is 102282273803. The next prime is 102282273857. The reversal of 102282273856 is 658372282201.

The square root of 102282273856 is 319816.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×1022822738562 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102282273857) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17906841 + ... + 17912551.

Almost surely, 2102282273856 is an apocalyptic number.

102282273856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

102282273856 is the 319816-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102282273856

102282273856 is an abundant number, since it is smaller than the sum of its proper divisors (133862831831).

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

102282273856 is an frugal number, since it uses more digits than its factorization.

102282273856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11448 (or 5720 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The spelling of 102282273856 in words is "one hundred two billion, two hundred eighty-two million, two hundred seventy-three thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 5711 11422 22844 39977 45688 79954 91376 159908 182752 279839 319816 365504 559678 639632 1119356 1279264 2238712 2558528 4477424 8954848 17909696 32615521 65231042 130462084 228308647 260924168 456617294 521848336 913234588 1043696672 1598160529 1826469176 2087393344 3196321058 3652938352 6392642116 7305876704 12785284232 14611753408 25570568464 51141136928 102282273856