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204206070016 = 2813433141709
BaseRepresentation
bin1011111000101110100…
…0010101100100000000
3201112002110202011212101
42332023220111210000
511321203223220031
6233451100440144
720516262645544
oct2761350254400
9645073664771
10204206070016
1179670003923
12336b0249054
13163448419c0
149c52957a24
1554a2852361
hex2f8ba15900

204206070016 has 72 divisors (see below), whose sum is σ = 439986309560. Its totient is φ = 94030626816.

The previous prime is 204206070007. The next prime is 204206070023. The reversal of 204206070016 is 610070602402.

It can be written as a sum of positive squares in 4 ways, for example, as 6287855616 + 197918214400 = 79296^2 + 444880^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1370170 + ... + 1511878.

Almost surely, 2204206070016 is an apocalyptic number.

204206070016 is a gapful number since it is divisible by the number (26) 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 204206070016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219993154780).

204206070016 is an abundant number, since it is smaller than the sum of its proper divisors (235780239544).

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

204206070016 is a wasteful number, since it uses less digits than its factorization.

204206070016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142171 (or 142157 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

Adding to 204206070016 its reverse (610070602402), we get a palindrome (814276672418).

The spelling of 204206070016 in words is "two hundred four billion, two hundred six million, seventy thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 433 832 866 1664 1732 3328 3464 5629 6928 11258 13856 22516 27712 45032 55424 90064 110848 141709 180128 283418 360256 566836 720512 1133672 1441024 1842217 2267344 3684434 4534688 7368868 9069376 14737736 18138752 29475472 36277504 58950944 61359997 117901888 122719994 235803776 245439988 471607552 490879976 797679961 981759952 1595359922 1963519904 3190719844 3927039808 6381439688 7854079616 12762879376 15708159232 25525758752 51051517504 102103035008 204206070016