Search a number
-
+
15681086738208 = 253318149405947
BaseRepresentation
bin1110010000110000100110…
…0110101100111100100000
32001112002121220012112022000
43210030021212230330200
54023404331201110313
653203443010044000
73205630643016153
oct344141146547440
961462556175260
1015681086738208
114aa6347727701
121913124279600
1389994919b348
143c2d7bd7dc9a
151c2d7b0b7673
hexe43099acf20

15681086738208 has 48 divisors (see below), whose sum is σ = 45736502988960. Its totient is φ = 5227028912448.

The previous prime is 15681086738203. The next prime is 15681086738209. The reversal of 15681086738208 is 80283768018651.

15681086738208 is a `hidden beast` number, since 1 + 568 + 1 + 0 + 8 + 67 + 3 + 8 + 2 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (15681086738203) 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 7 ways as a sum of consecutive naturals, for example, 9074702110 + ... + 9074703837.

It is an arithmetic number, because the mean of its divisors is an integer number (952843812270).

Almost surely, 215681086738208 is an apocalyptic number.

15681086738208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

15681086738208 is an abundant number, since it is smaller than the sum of its proper divisors (30055416250752).

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

15681086738208 is a wasteful number, since it uses less digits than its factorization.

15681086738208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18149405966 (or 18149405952 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 15681086738208 in words is "fifteen trillion, six hundred eighty-one billion, eighty-six million, seven hundred thirty-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 18149405947 36298811894 54448217841 72597623788 108896435682 145195247576 163344653523 217792871364 290390495152 326689307046 435585742728 490033960569 580780990304 653378614092 871171485456 980067921138 1306757228184 1742342970912 1960135842276 2613514456368 3920271684552 5227028912736 7840543369104 15681086738208