Search a number
-
+
106672278336 = 2631342737291
BaseRepresentation
bin110001101011000101…
…0011100101101000000
3101012100011201012102120
41203112022130231000
53221431100401321
6121000553044240
710464303256011
oct1432612345500
9335304635376
10106672278336
114126a7a1618
12188103b6680
13a09cc5c930
14523d26d008
152b94dbaec6
hex18d629cb40

106672278336 has 56 divisors (see below), whose sum is σ = 303947620704. Its totient is φ = 32822238720.

The previous prime is 106672278247. The next prime is 106672278371. The reversal of 106672278336 is 633872276601.

It is a super-2 number, since 2×1066722783362 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21366150 + ... + 21371141.

It is an arithmetic number, because the mean of its divisors is an integer number (5427636084).

Almost surely, 2106672278336 is an apocalyptic number.

106672278336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106672278336 is an abundant number, since it is smaller than the sum of its proper divisors (197275342368).

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

106672278336 is a wasteful number, since it uses less digits than its factorization.

106672278336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42737319 (or 42737309 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 51.

The spelling of 106672278336 in words is "one hundred six billion, six hundred seventy-two million, two hundred seventy-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 42737291 85474582 128211873 170949164 256423746 341898328 512847492 555584783 683796656 1025694984 1111169566 1367593312 1666754349 2051389968 2222339132 2735186624 3333508698 4102779936 4444678264 6667017396 8205559872 8889356528 13334034792 17778713056 26668069584 35557426112 53336139168 106672278336