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106006617624 = 2334416942401
BaseRepresentation
bin110001010111001111…
…1001001111000011000
3101010121210011010121010
41202232133021320120
53214100143230444
6120410533413520
710441641245145
oct1425637117030
9333553133533
10106006617624
1140a58a768a6
121866549a2a0
139cc508465b
1451b8ab33cc
152b5672d2b9
hex18ae7c9e18

106006617624 has 16 divisors (see below), whose sum is σ = 265016544120. Its totient is φ = 35335539200.

The previous prime is 106006617623. The next prime is 106006617683. The reversal of 106006617624 is 426716600601.

It is a super-2 number, since 2×1060066176242 (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 (106006617623) 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 3 ways as a sum of consecutive naturals, for example, 2208471177 + ... + 2208471224.

Almost surely, 2106006617624 is an apocalyptic number.

It is an amenable number.

106006617624 is an abundant number, since it is smaller than the sum of its proper divisors (159009926496).

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

106006617624 is a wasteful number, since it uses less digits than its factorization.

106006617624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4416942410 (or 4416942406 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 106006617624 in words is "one hundred six billion, six million, six hundred seventeen thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 4416942401 8833884802 13250827203 17667769604 26501654406 35335539208 53003308812 106006617624