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106005011644 = 2273785893273
BaseRepresentation
bin110001010111001100…
…1000001110010111100
3101010121200010112121101
41202232121001302330
53214044240333034
6120410435142444
710441621506040
oct1425631016274
9333550115541
10106005011644
1140a5807a244
1218664a44a24
139cc494167c
1451b87b6020
152b56512514
hex18ae641cbc

106005011644 has 12 divisors (see below), whose sum is σ = 212010023344. Its totient is φ = 45430719264.

The previous prime is 106005011621. The next prime is 106005011653. The reversal of 106005011644 is 446110500601.

106005011644 is an admirable number.

It is a super-2 number, since 2×1060050116442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28), and also a Moran number because the ratio is a prime number: 3785893273 = 106005011644 / (1 + 0 + 6 + 0 + 0 + 5 + 0 + 1 + 1 + 6 + 4 + 4).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1892946609 + ... + 1892946664.

Almost surely, 2106005011644 is an apocalyptic number.

106005011644 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106005011644 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

106005011644 is a wasteful number, since it uses less digits than its factorization.

106005011644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3785893284 (or 3785893282 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The spelling of 106005011644 in words is "one hundred six billion, five million, eleven thousand, six hundred forty-four".

Divisors: 1 2 4 7 14 28 3785893273 7571786546 15143573092 26501252911 53002505822 106005011644