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641138615757 = 321767181345547
BaseRepresentation
bin10010101010001101101…
…01101110010111001101
32021021220001102021011200
421111012311232113031
541001022441201012
61210311321340113
764215004213203
oct11250665562715
92237801367150
10641138615757
112279a60414a2
12a4310037639
13485c78911b3
1423061b63073
1511a267b73dc
hex9546d6e5cd

641138615757 has 48 divisors (see below), whose sum is σ = 1000701479232. Its totient is φ = 394088302080.

The previous prime is 641138615743. The next prime is 641138615759. The reversal of 641138615757 is 757516831146.

641138615757 is a `hidden beast` number, since 6 + 4 + 1 + 1 + 3 + 8 + 61 + 575 + 7 = 666.

It is not a de Polignac number, because 641138615757 - 26 = 641138615693 is a prime.

It is a super-2 number, since 2×6411386157572 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641138615759) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1682658 + ... + 2028204.

It is an arithmetic number, because the mean of its divisors is an integer number (20847947484).

Almost surely, 2641138615757 is an apocalyptic number.

641138615757 is a gapful number since it is divisible by the number (67) formed by its first and last digit.

It is an amenable number.

641138615757 is a deficient number, since it is larger than the sum of its proper divisors (359562863475).

641138615757 is a wasteful number, since it uses less digits than its factorization.

641138615757 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345818 (or 345815 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 54.

The spelling of 641138615757 in words is "six hundred forty-one billion, one hundred thirty-eight million, six hundred fifteen thousand, seven hundred fifty-seven".

Divisors: 1 3 9 17 51 67 153 181 201 543 603 1139 1629 3077 3417 9231 10251 12127 27693 36381 109143 206159 345547 618477 1036641 1855431 3109923 5874299 17622897 23151649 52868691 62544007 69454947 187632021 208364841 393578033 562896063 1063248119 1180734099 3189744357 3542202297 4190448469 9569233071 12571345407 37714036221 71237623973 213712871919 641138615757