Search a number
-
+
106247494647184 = 24112327481955093
BaseRepresentation
bin11000001010000110101100…
…001011010011110110010000
3111221012011100120200211100011
4120022012230023103312100
5102411224332112202214
61013545231503004304
731244061651351532
oct3012065413236620
9457164316624304
10106247494647184
1130943344953160
12babb586b99694
1347391324acc27
141c345987ab852
15c43b1b639ac4
hex60a1ac2d3d90

106247494647184 has 80 divisors (see below), whose sum is σ = 234341191453824. Its totient is φ = 46192833561600.

The previous prime is 106247494647181. The next prime is 106247494647187. The reversal of 106247494647184 is 481746494742601.

It is an interprime number because it is at equal distance from previous prime (106247494647181) and next prime (106247494647187).

It is a super-2 number, since 2×1062474946471842 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106247494647181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110765542 + ... + 111720634.

Almost surely, 2106247494647184 is an apocalyptic number.

It is an amenable number.

106247494647184 is an abundant number, since it is smaller than the sum of its proper divisors (128093696806640).

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

106247494647184 is a wasteful number, since it uses less digits than its factorization.

106247494647184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982616 (or 982610 counting only the distinct ones).

The product of its (nonzero) digits is 260112384, while the sum is 67.

The spelling of 106247494647184 in words is "one hundred six trillion, two hundred forty-seven billion, four hundred ninety-four million, six hundred forty-seven thousand, one hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 176 184 253 368 506 1012 2024 4048 27481 54962 109924 219848 302291 439696 604582 632063 955093 1209164 1264126 1910186 2418328 2528252 3820372 4836656 5056504 6952693 7640744 10113008 10506023 13905386 15281488 21012046 21967139 27810772 42024092 43934278 55621544 84048184 87868556 111243088 168096368 175737112 241638529 351474224 483277058 966554116 1933108232 3866216464 26246910733 52493821466 104987642932 209975285864 288716018063 419950571728 577432036126 603678946859 1154864072252 1207357893718 2309728144504 2414715787436 4619456289008 4829431574872 6640468415449 9658863149744 13280936830898 26561873661796 53123747323592 106247494647184