Search a number
-
+
27982118976 = 2637191095791
BaseRepresentation
bin11010000011110111…
…010100000001000000
32200020010021220222220
4122003313110001000
5424301410301401
620504345531040
72010265041540
oct320367240100
980203256886
1027982118976
111095a1a4169
12550b1a3a80
13283c2c9c66
1414d6457320
15adb8d3336
hex683dd4040

27982118976 has 112 divisors (see below), whose sum is σ = 89065973760. Its totient is φ = 7574100480.

The previous prime is 27982118947. The next prime is 27982118981. The reversal of 27982118976 is 67981128972.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 522360 + ... + 573431.

Almost surely, 227982118976 is an apocalyptic number.

It is an amenable number.

27982118976 is an abundant number, since it is smaller than the sum of its proper divisors (61083854784).

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

27982118976 is a wasteful number, since it uses less digits than its factorization.

27982118976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095832 (or 1095822 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 60.

The spelling of 27982118976 in words is "twenty-seven billion, nine hundred eighty-two million, one hundred eighteen thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 133 152 168 192 224 228 266 304 336 399 448 456 532 608 672 798 912 1064 1216 1344 1596 1824 2128 3192 3648 4256 6384 8512 12768 25536 1095791 2191582 3287373 4383164 6574746 7670537 8766328 13149492 15341074 17532656 20820029 23011611 26298984 30682148 35065312 41640058 46023222 52597968 61364296 62460087 70130624 83280116 92046444 105195936 122728592 124920174 145740203 166560232 184092888 210391872 245457184 249840348 291480406 333120464 368185776 437220609 490914368 499680696 582960812 666240928 736371552 874441218 999361392 1165921624 1332481856 1472743104 1748882436 1998722784 2331843248 3497764872 3997445568 4663686496 6995529744 9327372992 13991059488 27982118976