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42098635593 = 3271731240903
BaseRepresentation
bin100111001101010001…
…100011001101001001
311000122221000021022200
4213031101203031021
51142204222314333
631201223510413
73020146332630
oct471521431511
9130587007280
1042098635593
1116943645023
1281aa8b8409
133c7bab3381
1420751c0517
151165d7ec13
hex9cd463349

42098635593 has 72 divisors (see below), whose sum is σ = 76036281984. Its totient is φ = 21910383360.

The previous prime is 42098635589. The next prime is 42098635613. The reversal of 42098635593 is 39553689024.

42098635593 is a `hidden beast` number, since 4 + 2 + 0 + 9 + 86 + 3 + 559 + 3 = 666.

It is not a de Polignac number, because 42098635593 - 22 = 42098635589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42098635543) 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 71 ways as a sum of consecutive naturals, for example, 1008780 + ... + 1049682.

It is an arithmetic number, because the mean of its divisors is an integer number (1056059472).

Almost surely, 242098635593 is an apocalyptic number.

It is an amenable number.

42098635593 is a deficient number, since it is larger than the sum of its proper divisors (33937646391).

42098635593 is a wasteful number, since it uses less digits than its factorization.

42098635593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40995 (or 40961 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 42098635593 in words is "forty-two billion, ninety-eight million, six hundred thirty-five thousand, five hundred ninety-three".

Divisors: 1 3 7 9 17 21 31 51 63 93 119 153 217 279 357 527 651 961 1071 1581 1953 2883 3689 4743 6727 8649 11067 16337 20181 33201 40903 49011 60543 114359 122709 147033 286321 343077 368127 695351 858963 1029231 1267993 2086053 2576889 3803979 4867457 6258159 8875951 11411937 14602371 21555881 26627853 39307783 43807113 64667643 79883559 117923349 150891167 194002929 275154481 353770047 452673501 668232311 825463443 1358020503 2004696933 2476390329 4677626177 6014090799 14032878531 42098635593