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102853446912 = 283244641253
BaseRepresentation
bin101111111001010001…
…0110000110100000000
3100211111000220110112200
41133302202300310000
53141120440300122
6115130014153200
710300542605466
oct1376242606400
9324430813480
10102853446912
113a6900a8a97
1217b254b2800
139911a30c78
144d99dd8836
152a1e9d05ac
hex17f28b0d00

102853446912 has 54 divisors (see below), whose sum is σ = 296551850322. Its totient is φ = 34284481536.

The previous prime is 102853446911. The next prime is 102853446929. The reversal of 102853446912 is 219644358201.

102853446912 is a `hidden beast` number, since 1 + 0 + 28 + 534 + 4 + 6 + 91 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 89769747456 + 13083699456 = 299616^2 + 114384^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102853446911) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22318323 + ... + 22322930.

Almost surely, 2102853446912 is an apocalyptic number.

102853446912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102853446912 is an abundant number, since it is smaller than the sum of its proper divisors (193698403410).

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

102853446912 is an equidigital number, since it uses as much as digits as its factorization.

102853446912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44641275 (or 44641258 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 102853446912 in words is "one hundred two billion, eight hundred fifty-three million, four hundred forty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 44641253 89282506 133923759 178565012 267847518 357130024 401771277 535695036 714260048 803542554 1071390072 1428520096 1607085108 2142780144 2857040192 3214170216 4285560288 5714080384 6428340432 8571120576 11428160768 12856680864 17142241152 25713361728 34284482304 51426723456 102853446912