Search a number
-
+
42598759275093 = 37193143603713267
BaseRepresentation
bin10011010111110010010111…
…11010100001101001010101
312120211101211202222120011110
421223321023322201221111
521040414224333300333
6230333333322325233
711654441652314040
oct1153711372415125
9176741752876143
1042598759275093
111263403a07746a
12493bb12359819
131aa0079706388
14a73b1051bc57
154dd158b85063
hex26be4bea1a55

42598759275093 has 128 divisors (see below), whose sum is σ = 72190691246080. Its totient is φ = 21792824444160.

The previous prime is 42598759275089. The next prime is 42598759275151. The reversal of 42598759275093 is 39057295789524.

It is not a de Polignac number, because 42598759275093 - 22 = 42598759275089 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42598759275073) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3210874446 + ... + 3210887712.

It is an arithmetic number, because the mean of its divisors is an integer number (563989775360).

Almost surely, 242598759275093 is an apocalyptic number.

42598759275093 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

42598759275093 is a deficient number, since it is larger than the sum of its proper divisors (29591931970987).

42598759275093 is a wasteful number, since it uses less digits than its factorization.

42598759275093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19407.

The product of its (nonzero) digits is 1714608000, while the sum is 75.

The spelling of 42598759275093 in words is "forty-two trillion, five hundred ninety-eight billion, seven hundred fifty-nine million, two hundred seventy-five thousand, ninety-three".

Divisors: 1 3 7 19 21 31 43 57 93 129 133 217 301 399 589 651 817 903 1333 1767 2451 3999 4123 5719 6037 9331 12369 13267 17157 18111 25327 27993 39801 42259 75981 92869 114703 126777 177289 187147 252073 259591 278607 344109 411277 531867 561441 570481 756219 778773 802921 1233831 1310029 1711443 1764511 1817137 2408763 2878939 3555793 3930087 3993367 4932229 5293533 5451411 7814263 8047321 8636817 10667379 10839139 11980101 14796687 17684911 23442789 24141963 24890551 32517417 34525603 53054733 54699841 56331247 74671653 75873973 80092879 103576809 123794377 152899099 164099523 168993741 227621919 240278637 336013309 371383131 458697297 560650153 1008039927 1070293693 1521764701 1681950459 2352093163 2482879249 3210881079 3443993797 4565294103 7056279489 7448637747 10331981391 10652352907 17380154743 24107956579 31957058721 47174705731 52140464229 65435882143 72323869737 106763807707 141524117193 196307646429 320291423121 330222940117 458051175001 747346653949 990668820351 1374153525003 2028512346433 2242039961847 6085537039299 14199586425031 42598759275093