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106415542662 = 2311131181105019
BaseRepresentation
bin110001100011011011…
…1000101000110000110
3101011200021121200021220
41203012313011012012
53220414334331122
6120515302221210
710455035121342
oct1430667050606
9334607550256
10106415542662
1141148888280
121875a424806
13a05b9cc430
14521711c622
152b7c5a625c
hex18c6dc5186

106415542662 has 64 divisors (see below), whose sum is σ = 250253418240. Its totient is φ = 29741097600.

The previous prime is 106415542657. The next prime is 106415542669. The reversal of 106415542662 is 266245514601.

It is a super-2 number, since 2×1064155426622 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106415542669) 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, 960789 + ... + 1065807.

It is an arithmetic number, because the mean of its divisors is an integer number (3910209660).

Almost surely, 2106415542662 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106415542662, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125126709120).

106415542662 is an abundant number, since it is smaller than the sum of its proper divisors (143837875578).

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

106415542662 is a wasteful number, since it uses less digits than its factorization.

106415542662 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106229.

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 106415542662 in words is "one hundred six billion, four hundred fifteen million, five hundred forty-two thousand, six hundred sixty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 286 429 858 1181 2362 3543 7086 12991 15353 25982 30706 38973 46059 77946 92118 105019 168883 210038 315057 337766 506649 630114 1013298 1155209 1365247 2310418 2730494 3465627 4095741 6931254 8191482 15017717 30035434 45053151 90106302 124027439 248054878 372082317 744164634 1364301829 1612356707 2728603658 3224713414 4092905487 4837070121 8185810974 9674140242 17735923777 35471847554 53207771331 106415542662