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106445136424 = 23112415019103
BaseRepresentation
bin110001100100010011…
…1111110001000101000
3101011202100022012022011
41203020213332020220
53220444423331144
6120522240405304
710455544505464
oct1431047761050
9334670265264
10106445136424
1141163560530
1218768316834
13a064b91533
14521b0234a4
152b7ee9ea34
hex18c89fe228

106445136424 has 32 divisors (see below), whose sum is σ = 218632170240. Its totient is φ = 48183379200.

The previous prime is 106445136403. The next prime is 106445136431. The reversal of 106445136424 is 424631544601.

It is a happy number.

It is a super-2 number, since 2×1064451364242 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2488344 + ... + 2530759.

It is an arithmetic number, because the mean of its divisors is an integer number (6832255320).

Almost surely, 2106445136424 is an apocalyptic number.

It is an amenable number.

106445136424 is an abundant number, since it is smaller than the sum of its proper divisors (112187033816).

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

106445136424 is a wasteful number, since it uses less digits than its factorization.

106445136424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5019361 (or 5019357 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The spelling of 106445136424 in words is "one hundred six billion, four hundred forty-five million, one hundred thirty-six thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 88 241 482 964 1928 2651 5302 10604 21208 5019103 10038206 20076412 40152824 55210133 110420266 220840532 441681064 1209603823 2419207646 4838415292 9676830584 13305642053 26611284106 53222568212 106445136424