Search a number
-
+
106552822481 = 73715119913691
BaseRepresentation
bin110001100111100001…
…0110000101011010001
3101012000211221012210122
41203033002300223101
53221210010304411
6120541044440025
710461323022140
oct1431702605321
9335024835718
10106552822481
1141209321676
12187983a9015
13a0812965b1
14522b455757
152b896719db
hex18cf0b0ad1

106552822481 has 32 divisors (see below), whose sum is σ = 126535987200. Its totient is φ = 87824088000.

The previous prime is 106552822477. The next prime is 106552822553. The reversal of 106552822481 is 184228255601.

It is not a de Polignac number, because 106552822481 - 22 = 106552822477 is a prime.

It is a super-2 number, since 2×1065528224812 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106552822421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7775846 + ... + 7789536.

It is an arithmetic number, because the mean of its divisors is an integer number (3954249600).

Almost surely, 2106552822481 is an apocalyptic number.

It is an amenable number.

106552822481 is a deficient number, since it is larger than the sum of its proper divisors (19983164719).

106552822481 is a wasteful number, since it uses less digits than its factorization.

106552822481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14085.

The product of its (nonzero) digits is 307200, while the sum is 44.

The spelling of 106552822481 in words is "one hundred six billion, five hundred fifty-two million, eight hundred twenty-two thousand, four hundred eighty-one".

Divisors: 1 7 37 151 199 259 1057 1393 5587 7363 13691 30049 39109 51541 95837 210343 506567 1111813 2067341 2724509 3545969 7782691 14471387 19071563 76491617 100806833 411400859 535441319 705647831 2879806013 15221831783 106552822481