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97812875808 = 253461432
BaseRepresentation
bin101101100011000011…
…0100000101000100000
3100100110202011220220000
41123012012200220200
53100310044011213
6112533513220000
710031615504064
oct1330606405040
9310422156800
1097812875808
113853390034a
1216b59401600
1392ba66890b
144a3c7b5aa4
152827212c73
hex16c61a0a20

97812875808 has 90 divisors (see below), whose sum is σ = 287711786439. Its totient is φ = 32598984384.

The previous prime is 97812875779. The next prime is 97812875821. The reversal of 97812875808 is 80857821879.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 48906437904 + 48906437904 = 221148^2 + 221148^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=221148.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 15919585 + ... + 15925727.

Almost surely, 297812875808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97812875808

97812875808 is an abundant number, since it is smaller than the sum of its proper divisors (189898910631).

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

97812875808 is an frugal number, since it uses more digits than its factorization.

97812875808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12308 (or 6148 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 63.

The spelling of 97812875808 in words is "ninety-seven billion, eight hundred twelve million, eight hundred seventy-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 6143 12286 18429 24572 36858 49144 55287 73716 98288 110574 147432 165861 196576 221148 294864 331722 442296 497583 589728 663444 884592 995166 1326888 1769184 1990332 2653776 3980664 5307552 7961328 15922656 37736449 75472898 113209347 150945796 226418694 301891592 339628041 452837388 603783184 679256082 905674776 1018884123 1207566368 1358512164 1811349552 2037768246 2717024328 3056652369 3622699104 4075536492 5434048656 6113304738 8151072984 10868097312 12226609476 16302145968 24453218952 32604291936 48906437904 97812875808