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285848680100 = 225213212163881
BaseRepresentation
bin1000010100011011110…
…10001011011010100100
31000022211021201111021212
410022031322023122210
514140404230230400
6335152253130552
726436411456044
oct4121572133244
91008737644255
10285848680100
111002561451a5
1247496189a58
1320c5607b139
14db99919724
15768013a335
hex428de8b6a4

285848680100 has 36 divisors (see below), whose sum is σ = 620761484868. Its totient is φ = 114252864000.

The previous prime is 285848680099. The next prime is 285848680127. The reversal of 285848680100 is 1086848582.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2334784 + 285846345316 = 1528^2 + 534646^2 .

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 949841 + ... + 1214040.

Almost surely, 2285848680100 is an apocalyptic number.

285848680100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

285848680100 is an abundant number, since it is smaller than the sum of its proper divisors (334912804768).

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

285848680100 is a wasteful number, since it uses less digits than its factorization.

285848680100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2165216 (or 2165209 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 50.

The spelling of 285848680100 in words is "two hundred eighty-five billion, eight hundred forty-eight million, six hundred eighty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1321 2642 5284 6605 13210 26420 33025 66050 132100 2163881 4327762 8655524 10819405 21638810 43277620 54097025 108194050 216388100 2858486801 5716973602 11433947204 14292434005 28584868010 57169736020 71462170025 142924340050 285848680100