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97118727808 = 2716316272861
BaseRepresentation
bin101101001110010111…
…0100010111010000000
3100021200101000112211211
41122130232202322000
53042344343242213
6112340555215504
710005456365014
oct1323456427200
9307611015754
1097118727808
1138207a98713
12169a4a47594
1392098c805b
1449b4522544
1527d62e953d
hex169cba2e80

97118727808 has 64 divisors (see below), whose sum is σ = 194853431520. Its totient is φ = 48214932480.

The previous prime is 97118727787. The next prime is 97118727851. The reversal of 97118727808 is 80872781179.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33944298 + ... + 33947158.

Almost surely, 297118727808 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 97118727808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97426715760).

97118727808 is an abundant number, since it is smaller than the sum of its proper divisors (97734703712).

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

97118727808 is a wasteful number, since it uses less digits than its factorization.

97118727808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4665 (or 4653 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 58.

The spelling of 97118727808 in words is "ninety-seven billion, one hundred eighteen million, seven hundred twenty-seven thousand, eight hundred eight".

Divisors: 1 2 4 8 16 32 64 128 163 326 652 1304 1627 2608 2861 3254 5216 5722 6508 10432 11444 13016 20864 22888 26032 45776 52064 91552 104128 183104 208256 265201 366208 466343 530402 932686 1060804 1865372 2121608 3730744 4243216 4654847 7461488 8486432 9309694 14922976 16972864 18619388 29845952 33945728 37238776 59691904 74477552 148955104 297910208 595820416 758740061 1517480122 3034960244 6069920488 12139840976 24279681952 48559363904 97118727808