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106226061544 = 23731374492957
BaseRepresentation
bin110001011101110010…
…0010001000011101000
3101011012002002001001201
41202323210101003220
53220022332432134
6120444413053544
710450244424301
oct1427344210350
9334162061051
10106226061544
114106092a309
1218706a872b4
13a02b688c25
1451d9cb77a8
152b6ab28914
hex18bb9110e8

106226061544 has 64 divisors (see below), whose sum is σ = 203897898000. Its totient is φ = 51869712384.

The previous prime is 106226061523. The next prime is 106226061547. The reversal of 106226061544 is 445160622601.

It can be written as a sum of positive squares in 8 ways, for example, as 49300873444 + 56925188100 = 222038^2 + 238590^2 .

It is a super-2 number, since 2×1062260615442 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106226061547) 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, 35922114 + ... + 35925070.

Almost surely, 2106226061544 is an apocalyptic number.

It is an amenable number.

106226061544 is a deficient number, since it is larger than the sum of its proper divisors (97671836456).

106226061544 is a wasteful number, since it uses less digits than its factorization.

106226061544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3622 (or 3618 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 106226061544 in words is "one hundred six billion, two hundred twenty-six million, sixty-one thousand, five hundred forty-four".

Divisors: 1 2 4 8 73 137 146 274 292 449 548 584 898 1096 1796 2957 3592 5914 10001 11828 20002 23656 32777 40004 61513 65554 80008 123026 131108 215861 246052 262216 405109 431722 492104 810218 863444 1327693 1620436 1726888 2655386 3240872 4490449 5310772 8980898 10621544 17961796 29572957 35923592 59145914 96921589 118291828 181893941 193843178 236583656 363787882 387686356 727575764 775372712 1455151528 13278257693 26556515386 53113030772 106226061544