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97985648808 = 2334151212421
BaseRepresentation
bin101101101000001100…
…1100101100010101000
3100100220210021200220000
41123100121211202220
53101133311230213
6113003004303000
710036114162335
oct1332031454250
9310823250800
1097985648808
1138612387253
1216ba7241a60
1393173ac168
144a5770b98c
15283748ec73
hex16d06658a8

97985648808 has 40 divisors (see below), whose sum is σ = 274450545930. Its totient is φ = 32661882720.

The previous prime is 97985648807. The next prime is 97985648867. The reversal of 97985648808 is 80884658979.

97985648808 is a `hidden beast` number, since 9 + 7 + 98 + 56 + 488 + 0 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 60271232004 + 37714416804 = 245502^2 + 194202^2 .

It is a super-3 number, since 3×979856488083 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (97985648807) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 75605563 + ... + 75606858.

Almost surely, 297985648808 is an apocalyptic number.

It is an amenable number.

97985648808 is an abundant number, since it is smaller than the sum of its proper divisors (176464897122).

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

97985648808 is a wasteful number, since it uses less digits than its factorization.

97985648808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151212439 (or 151212426 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 72.

The spelling of 97985648808 in words is "ninety-seven billion, nine hundred eighty-five million, six hundred forty-eight thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 151212421 302424842 453637263 604849684 907274526 1209699368 1360911789 1814549052 2721823578 3629098104 4082735367 5443647156 8165470734 10887294312 12248206101 16330941468 24496412202 32661882936 48992824404 97985648808