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642274106841 = 3423429780231
BaseRepresentation
bin10010101100010101000…
…01010001110111011001
32021101211012001012010000
421112022201101313121
541010334132404331
61211020123043213
764255102554633
oct11261241216731
92241735035100
10642274106841
11228428a97784
12a4588370509
1348748bba303
142312c89da53
1511a9130e0e6
hex958a851dd9

642274106841 has 40 divisors (see below), whose sum is σ = 1001407042944. Its totient is φ = 409465679040.

The previous prime is 642274106813. The next prime is 642274106857. The reversal of 642274106841 is 148601472246.

642274106841 is a `hidden beast` number, since 6 + 4 + 227 + 410 + 6 + 8 + 4 + 1 = 666.

It is not a de Polignac number, because 642274106841 - 26 = 642274106777 is a prime.

It is not an unprimeable number, because it can be changed into a prime (642274106941) 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 39 ways as a sum of consecutive naturals, for example, 7965196 + ... + 8045426.

Almost surely, 2642274106841 is an apocalyptic number.

It is an amenable number.

642274106841 is a deficient number, since it is larger than the sum of its proper divisors (359132936103).

642274106841 is a wasteful number, since it uses less digits than its factorization.

642274106841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84563 (or 84554 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 642274106841 in words is "six hundred forty-two billion, two hundred seventy-four million, one hundred six thousand, eight hundred forty-one".

Divisors: 1 3 9 23 27 69 81 207 621 1863 4297 12891 38673 80231 98831 116019 240693 296493 348057 722079 889479 1845313 2166237 2668437 5535939 6498711 8005311 16607817 49823451 149470353 344752607 1034257821 3102773463 7929309961 9308320389 23787929883 27924961167 71363789649 214091368947 642274106841