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96987678900 = 223527119338713
BaseRepresentation
bin101101001010011101…
…0101000100010110100
3100021100020102120112120
41122110322220202310
53042112321211100
6112315554315540
710002305445150
oct1322472504264
9307306376476
1096987678900
113815001a732
1216968b88bb0
1391b8703018
1449a0d6c060
1527c9a600a0
hex1694ea88b4

96987678900 has 144 divisors (see below), whose sum is σ = 320983039104. Its totient is φ = 22149457920.

The previous prime is 96987678847. The next prime is 96987678947. The reversal of 96987678900 is 987678969.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2485944 + ... + 2524656.

Almost surely, 296987678900 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 96987678900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160491519552).

96987678900 is an abundant number, since it is smaller than the sum of its proper divisors (223995360204).

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

96987678900 is a wasteful number, since it uses less digits than its factorization.

96987678900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39930 (or 39923 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 69.

Adding to 96987678900 its sum of digits (69), we get a palindrome (96987678969).

The spelling of 96987678900 in words is "ninety-six billion, nine hundred eighty-seven million, six hundred seventy-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 1193 2100 2386 3579 4772 5965 7158 8351 11930 14316 16702 17895 23860 25053 29825 33404 35790 38713 41755 50106 59650 71580 77426 83510 89475 100212 116139 119300 125265 154852 167020 178950 193565 208775 232278 250530 270991 357900 387130 417550 464556 501060 541982 580695 626325 774260 812973 835100 967825 1083964 1161390 1252650 1354955 1625946 1935650 2322780 2505300 2709910 2903475 3251892 3871300 4064865 5419820 5806950 6774775 8129730 11613900 13549550 16259460 20324325 27099100 40648650 46184609 81297300 92369218 138553827 184738436 230923045 277107654 323292263 461846090 554215308 646584526 692769135 923692180 969876789 1154615225 1293169052 1385538270 1616461315 1939753578 2309230450 2771076540 3232922630 3463845675 3879507156 4618460900 4849383945 6465845260 6927691350 8082306575 9698767890 13855382700 16164613150 19397535780 24246919725 32329226300 48493839450 96987678900