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106024623642 = 2327841465267
BaseRepresentation
bin110001010111110001…
…1110101111000011010
3101010200001000221012200
41202233203311320122
53214114300424032
6120412415351030
710442250300630
oct1425743657032
9333601027180
10106024623642
1140a68155003
121866b522476
139cc8a1a2c2
1451bb23d350
152b580d847c
hex18af8f5e1a

106024623642 has 24 divisors (see below), whose sum is σ = 262537163616. Its totient is φ = 30292749576.

The previous prime is 106024623637. The next prime is 106024623643. The reversal of 106024623642 is 246326420601.

106024623642 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 2 + 4 + 6 + 2 + 3 + 642 = 666.

It is a super-2 number, since 2×1060246236422 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106024623597 and 106024623606.

It is not an unprimeable number, because it can be changed into a prime (106024623643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 420732508 + ... + 420732759.

It is an arithmetic number, because the mean of its divisors is an integer number (10939048484).

Almost surely, 2106024623642 is an apocalyptic number.

106024623642 is an abundant number, since it is smaller than the sum of its proper divisors (156512539974).

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

106024623642 is a wasteful number, since it uses less digits than its factorization.

106024623642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841465282 (or 841465279 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 106024623642 in words is "one hundred six billion, twenty-four million, six hundred twenty-three thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 841465267 1682930534 2524395801 5048791602 5890256869 7573187403 11780513738 15146374806 17670770607 35341541214 53012311821 106024623642