Search a number
-
+
99218693664 = 2534103371639
BaseRepresentation
bin101110001100111100…
…1010001111000100000
3100111002201110212110000
41130121321101320200
53111144441144124
6113325212540000
710111505660316
oct1343171217040
9314081425400
1099218693664
1139095403092
1217290181600
1394829a34bc
144b333a00b6
1528aa8566c9
hex1719e51e20

99218693664 has 120 divisors (see below), whose sum is σ = 294633218880. Its totient is φ = 32751713664.

The previous prime is 99218693663. The next prime is 99218693669. The reversal of 99218693664 is 46639681299.

99218693664 is a `hidden beast` number, since 9 + 92 + 186 + 9 + 366 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (99218693663) 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 19 ways as a sum of consecutive naturals, for example, 81157 + ... + 452795.

It is an arithmetic number, because the mean of its divisors is an integer number (2455276824).

Almost surely, 299218693664 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 99218693664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147316609440).

99218693664 is an abundant number, since it is smaller than the sum of its proper divisors (195414525216).

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

99218693664 is a wasteful number, since it uses less digits than its factorization.

99218693664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371764 (or 371747 counting only the distinct ones).

The product of its digits is 30233088, while the sum is 63.

The spelling of 99218693664 in words is "ninety-nine billion, two hundred eighteen million, six hundred ninety-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 103 108 144 162 206 216 288 309 324 412 432 618 648 824 864 927 1236 1296 1648 1854 2472 2592 2781 3296 3708 4944 5562 7416 8343 9888 11124 14832 16686 22248 29664 33372 44496 66744 88992 133488 266976 371639 743278 1114917 1486556 2229834 2973112 3344751 4459668 5946224 6689502 8919336 10034253 11892448 13379004 17838672 20068506 26758008 30102759 35677344 38278817 40137012 53516016 60205518 76557634 80274024 107032032 114836451 120411036 153115268 160548048 229672902 240822072 306230536 321096096 344509353 459345804 481644144 612461072 689018706 918691608 963288288 1033528059 1224922144 1378037412 1837383216 2067056118 2756074824 3100584177 3674766432 4134112236 5512149648 6201168354 8268224472 11024299296 12402336708 16536448944 24804673416 33072897888 49609346832 99218693664