Search a number
-
+
30696005184 = 2631313789767
BaseRepresentation
bin11100100101100111…
…111101111001000000
32221020020221121222220
4130211213331321000
51000331134131214
622033533531040
72134450511325
oct344547757100
987206847886
1030696005184
1112022105029
125b48043a80
132b826360a0
1416b2a62b4c
15be9cac9a9
hex7259fde40

30696005184 has 112 divisors (see below), whose sum is σ = 88103342208. Its totient is φ = 9375879168.

The previous prime is 30696005159. The next prime is 30696005189. The reversal of 30696005184 is 48150069603.

It is not an unprimeable number, because it can be changed into a prime (30696005189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297069 + ... + 386835.

It is an arithmetic number, because the mean of its divisors is an integer number (786636984).

Almost surely, 230696005184 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 30696005184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44051671104).

30696005184 is an abundant number, since it is smaller than the sum of its proper divisors (57407337024).

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

30696005184 is a wasteful number, since it uses less digits than its factorization.

30696005184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89932 (or 89922 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 30696005184 in words is "thirty billion, six hundred ninety-six million, five thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 137 156 192 208 274 312 411 416 548 624 822 832 1096 1248 1644 1781 2192 2496 3288 3562 4384 5343 6576 7124 8768 10686 13152 14248 21372 26304 28496 42744 56992 85488 89767 113984 170976 179534 269301 341952 359068 538602 718136 1077204 1166971 1436272 2154408 2333942 2872544 3500913 4308816 4667884 5745088 7001826 8617632 9335768 12298079 14003652 17235264 18671536 24596158 28007304 36894237 37343072 49192316 56014608 73788474 74686144 98384632 112029216 147576948 159875027 196769264 224058432 295153896 319750054 393538528 479625081 590307792 639500108 787077056 959250162 1180615584 1279000216 1918500324 2361231168 2558000432 3837000648 5116000864 7674001296 10232001728 15348002592 30696005184