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64042341527157 = 37173112269471659
BaseRepresentation
bin11101000111111000001010…
…00001000110111001110101
322101202101110220010122210220
432203330011001012321311
531343232203412332112
6344112351234204553
716326622632122250
oct1643740501067165
9271671426118726
1064042341527157
1119451228236824
127223a02723759
1329972228812b6
1411b5947202097
15760d4cdba98c
hex3a3f05046e75

64042341527157 has 64 divisors (see below), whose sum is σ = 106670927462400. Its totient is φ = 33329089981440.

The previous prime is 64042341527113. The next prime is 64042341527201. The reversal of 64042341527157 is 75172514324046.

64042341527157 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (64042341527113) and next prime (64042341527201).

It is not a de Polignac number, because 64042341527157 - 215 = 64042341494389 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64042341527257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 135545194 + ... + 136016852.

It is an arithmetic number, because the mean of its divisors is an integer number (1666733241600).

Almost surely, 264042341527157 is an apocalyptic number.

It is an amenable number.

64042341527157 is a deficient number, since it is larger than the sum of its proper divisors (42628585935243).

64042341527157 is a wasteful number, since it uses less digits than its factorization.

64042341527157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483986.

The product of its (nonzero) digits is 5644800, while the sum is 51.

The spelling of 64042341527157 in words is "sixty-four trillion, forty-two billion, three hundred forty-one million, five hundred twenty-seven thousand, one hundred fifty-seven".

Divisors: 1 3 7 17 21 31 51 93 119 217 357 527 651 1581 3689 11067 12269 36807 85883 208573 257649 380339 471659 625719 1141017 1414977 1460011 2662373 3301613 4380033 6465763 7987119 8018203 9904839 14621429 19397289 24054609 43864287 45260341 56127421 102350003 135781023 168382263 248564293 307050009 745692879 1739950051 5219850153 5786784271 17360352813 40507489897 98375332607 121522469691 179390312401 295125997821 538170937203 688627328249 1255732186807 2065881984747 3049635310817 3767196560421 9148905932451 21347447175719 64042341527157