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42875677137711 = 311313741181152641
BaseRepresentation
bin10011011111110110001011…
…00000010101101100101111
312121210212121122210112000110
421233323011200111230233
521104433341321401321
6231104451505231103
712013444151312265
oct1157730540255457
9177725548715013
1042875677137711
1112730521a83270
124985715632493
131ac020b447912
14a8329dcb0435
154e5464c0c176
hex26fec5815b2f

42875677137711 has 128 divisors (see below), whose sum is σ = 68103516708864. Its totient is φ = 23738572800000.

The previous prime is 42875677137679. The next prime is 42875677137833. The reversal of 42875677137711 is 11773177657824.

It is not a de Polignac number, because 42875677137711 - 25 = 42875677137679 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42875677137511) 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, 280815951 + ... + 280968591.

It is an arithmetic number, because the mean of its divisors is an integer number (532058724288).

Almost surely, 242875677137711 is an apocalyptic number.

42875677137711 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

42875677137711 is a deficient number, since it is larger than the sum of its proper divisors (25227839571153).

42875677137711 is a wasteful number, since it uses less digits than its factorization.

42875677137711 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152945.

The product of its digits is 96808320, while the sum is 66.

The spelling of 42875677137711 in words is "forty-two trillion, eight hundred seventy-five billion, six hundred seventy-seven million, one hundred thirty-seven thousand, seven hundred eleven".

Divisors: 1 3 11 31 33 37 41 93 111 123 181 341 407 451 543 1023 1147 1221 1271 1353 1517 1991 3441 3813 4551 5611 5973 6697 7421 12617 13981 16687 16833 20091 22263 37851 41943 47027 50061 61721 73667 81631 141081 152641 185163 207607 221001 230051 244893 274577 457923 517297 622821 690153 823731 1551891 1679051 2283677 2530561 3020347 4731871 5037153 5647717 6258281 6851031 7591683 8511887 9061041 14195613 16943151 18774843 25535661 27628021 52050581 62124887 68841091 82884063 93630757 156151743 175079227 186374661 194006711 206523273 231556397 280892271 303908231 525237681 582020133 694669191 856468651 911724693 1022236777 1132748861 1925871497 2134073821 2547120367 2569405953 3066710331 3398246583 5777614491 6402221463 7178248307 7641361101 9421155161 11244604547 12460237471 21534744921 28263465483 31689340087 33733813641 35115214691 37380712413 41911707857 78960731377 95068020261 105345644073 125735123571 236882194131 348582740957 386267361601 461028786427 1045748222871 1158802084803 1299262943567 1383086359281 3897788830701 14291892379237 42875677137711