Search a number
-
+
106278474642 = 23503161921751
BaseRepresentation
bin110001011111010110…
…0001101001110010010
3101011022201200220022120
41202332230031032102
53220124242142032
6120453524315110
710451452062204
oct1427654151622
9334281626276
10106278474642
114108847901a
1218720542a96
13a0394aa7b2
145202c3c774
152b7052d62c
hex18beb0d392

106278474642 has 32 divisors (see below), whose sum is σ = 213120875520. Its totient is φ = 35332266000.

The previous prime is 106278474611. The next prime is 106278474649. The reversal of 106278474642 is 246474872601.

It is a happy number.

It is a super-2 number, since 2×1062784746422 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106278474649) 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, 4875267 + ... + 4897017.

It is an arithmetic number, because the mean of its divisors is an integer number (6660027360).

Almost surely, 2106278474642 is an apocalyptic number.

106278474642 is an abundant number, since it is smaller than the sum of its proper divisors (106842400878).

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

106278474642 is a wasteful number, since it uses less digits than its factorization.

106278474642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23878.

The product of its (nonzero) digits is 3612672, while the sum is 51.

The spelling of 106278474642 in words is "one hundred six billion, two hundred seventy-eight million, four hundred seventy-four thousand, six hundred forty-two".

Divisors: 1 2 3 6 503 1006 1509 1619 3018 3238 4857 9714 21751 43502 65253 130506 814357 1628714 2443071 4886142 10940753 21881506 32822259 35214869 65644518 70429738 105644607 211289214 17713079107 35426158214 53139237321 106278474642