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99202065216 = 2631579193581
BaseRepresentation
bin101110001100011100…
…1110110001101000000
3100111001120012001111120
41130120321312031000
53111131212041331
6113323420312240
710111214433012
oct1343071661500
9314046161446
1099202065216
1139086a85971
12172866a2680
13947c400897
144b310b21b2
1528a916e796
hex1718e76340

99202065216 has 112 divisors (see below), whose sum is σ = 264505196160. Its totient is φ = 32811816960.

The previous prime is 99202065211. The next prime is 99202065227. The reversal of 99202065216 is 61256020299.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99202065211) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 27700546 + ... + 27704126.

Almost surely, 299202065216 is an apocalyptic number.

99202065216 is a gapful number since it is divisible by the number (96) 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 99202065216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132252598080).

99202065216 is an abundant number, since it is smaller than the sum of its proper divisors (165303130944).

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

99202065216 is a wasteful number, since it uses less digits than its factorization.

99202065216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4672 (or 4662 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The spelling of 99202065216 in words is "ninety-nine billion, two hundred two million, sixty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 157 192 314 471 628 919 942 1256 1838 1884 2512 2757 3581 3676 3768 5024 5514 7162 7352 7536 10048 10743 11028 14324 14704 15072 21486 22056 28648 29408 30144 42972 44112 57296 58816 85944 88224 114592 144283 171888 176448 229184 288566 343776 432849 562217 577132 687552 865698 1124434 1154264 1686651 1731396 2248868 2308528 3290939 3373302 3462792 4497736 4617056 6581878 6746604 6925584 8995472 9234112 9872817 13163756 13493208 13851168 17990944 19745634 26327512 26986416 27702336 35981888 39491268 52655024 53972832 78982536 105310048 107945664 157965072 210620096 315930144 516677423 631860288 1033354846 1550032269 2066709692 3100064538 4133419384 6200129076 8266838768 12400258152 16533677536 24800516304 33067355072 49601032608 99202065216