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106544540646 = 2333163646679
BaseRepresentation
bin110001100111010001…
…1001010101111100110
3101012000021100110021000
41203032203022233212
53221200400300041
6120540151134130
710461162436635
oct1431643125746
9335007313230
10106544540646
1141204685385
1218795674346
13a07c656abb
14522a2db51c
152b88a87bb6
hex18ce8cabe6

106544540646 has 32 divisors (see below), whose sum is σ = 244403251200. Its totient is φ = 34369206120.

The previous prime is 106544540639. The next prime is 106544540723. The reversal of 106544540646 is 646045445601.

106544540646 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 44 + 540 + 64 + 6 = 666.

It is a super-2 number, since 2×1065445406462 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31821666 + ... + 31825013.

It is an arithmetic number, because the mean of its divisors is an integer number (7637601600).

Almost surely, 2106544540646 is an apocalyptic number.

106544540646 is an abundant number, since it is smaller than the sum of its proper divisors (137858710554).

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

106544540646 is a wasteful number, since it uses less digits than its factorization.

106544540646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63646721 (or 63646715 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 106544540646 in words is "one hundred six billion, five hundred forty-four million, five hundred forty thousand, six hundred forty-six".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 1674 63646679 127293358 190940037 381880074 572820111 1145640222 1718460333 1973047049 3436920666 3946094098 5919141147 11838282294 17757423441 35514846882 53272270323 106544540646