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10106440524 = 223393578153
BaseRepresentation
bin10010110100110010…
…00000101101001100
3222002100001101002000
421122121000231030
5131144222044044
64350504032300
7505306220115
oct113231005514
928070041060
1010106440524
114316905394
121b60762690
13c50a7762b
146bc34d20c
153e23d5d69
hex25a640b4c

10106440524 has 24 divisors (see below), whose sum is σ = 26201883120. Its totient is φ = 3368813472.

The previous prime is 10106440523. The next prime is 10106440529. The reversal of 10106440524 is 42504460101.

10106440524 is a `hidden beast` number, since 1 + 0 + 10 + 644 + 0 + 5 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10106440523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46788969 + ... + 46789184.

It is an arithmetic number, because the mean of its divisors is an integer number (1091745130).

Almost surely, 210106440524 is an apocalyptic number.

It is an amenable number.

10106440524 is an abundant number, since it is smaller than the sum of its proper divisors (16095442596).

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

10106440524 is a wasteful number, since it uses less digits than its factorization.

10106440524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93578166 (or 93578158 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 10106440524 in words is "ten billion, one hundred six million, four hundred forty thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 93578153 187156306 280734459 374312612 561468918 842203377 1122937836 1684406754 2526610131 3368813508 5053220262 10106440524