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41687638668 = 223213103864817
BaseRepresentation
bin100110110100110001…
…101110001010001100
310222121021122110112100
4212310301232022030
51140334013414133
631052342435100
73004026040104
oct466461561214
9128537573470
1041687638668
1116752648a45
1280b5132a90
133c148c1520
142036796204
15113ec47e13
hex9b4c6e28c

41687638668 has 72 divisors (see below), whose sum is σ = 114584925728. Its totient is φ = 12702417408.

The previous prime is 41687638661. The next prime is 41687638763. The reversal of 41687638668 is 86683678614.

41687638668 is a `hidden beast` number, since 416 + 87 + 6 + 3 + 86 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (41687638661) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 384205 + ... + 480612.

Almost surely, 241687638668 is an apocalyptic number.

It is an amenable number.

41687638668 is an abundant number, since it is smaller than the sum of its proper divisors (72897287060).

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

41687638668 is a wasteful number, since it uses less digits than its factorization.

41687638668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864943 (or 864938 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The spelling of 41687638668 in words is "forty-one billion, six hundred eighty-seven million, six hundred thirty-eight thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 103 117 156 206 234 309 412 468 618 927 1236 1339 1854 2678 3708 4017 5356 8034 12051 16068 24102 48204 864817 1729634 2594451 3459268 5188902 7783353 10377804 11242621 15566706 22485242 31133412 33727863 44970484 67455726 89076151 101183589 134911452 178152302 202367178 267228453 356304604 404734356 534456906 801685359 1068913812 1157989963 1603370718 2315979926 3206741436 3473969889 4631959852 6947939778 10421909667 13895879556 20843819334 41687638668