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42124632627 = 371131151163239
BaseRepresentation
bin100111001110110100…
…101110001000110011
311000201201221001112210
4213032310232020303
51142232401221002
631203553023203
73020613320010
oct471664561063
9130651831483
1042124632627
1116957290a80
1281b7554b03
133c842b632c
14207882a707
1511682b796c
hex9ced2e233

42124632627 has 128 divisors (see below), whose sum is σ = 73515663360. Its totient is φ = 20820240000.

The previous prime is 42124632619. The next prime is 42124632643. The reversal of 42124632627 is 72623642124.

It is not a de Polignac number, because 42124632627 - 23 = 42124632619 is a prime.

It is a super-2 number, since 2×421246326272 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42124632607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 176253574 + ... + 176253812.

It is an arithmetic number, because the mean of its divisors is an integer number (574341120).

Almost surely, 242124632627 is an apocalyptic number.

42124632627 is a deficient number, since it is larger than the sum of its proper divisors (31391030733).

42124632627 is a wasteful number, since it uses less digits than its factorization.

42124632627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605.

The product of its digits is 193536, while the sum is 39.

The spelling of 42124632627 in words is "forty-two billion, one hundred twenty-four million, six hundred thirty-two thousand, six hundred twenty-seven".

Divisors: 1 3 7 11 21 31 33 77 93 151 163 217 231 239 341 453 489 651 717 1023 1057 1141 1661 1673 1793 2387 2629 3171 3423 4681 4983 5019 5053 5379 7161 7409 7887 11627 12551 14043 15159 18403 22227 24613 32767 34881 35371 36089 37653 38957 51491 51863 55209 55583 73839 81499 98301 106113 108267 116871 154473 155589 166749 172291 244497 252623 270743 272699 360437 389081 396979 428527 516873 570493 757869 763003 812229 818097 1081311 1118759 1167243 1190937 1207667 1285581 1711479 1895201 2289009 2778853 2999689 3356277 3623001 5341021 5685603 5882507 7831313 8336559 8393033 8453669 8999067 12306349 13284337 16023063 17647521 23493939 25179099 25361007 36919047 39853011 41177549 58751231 64707577 86144443 92990359 123532647 176253693 182357717 194122731 258433329 278971077 452953039 547073151 1276504019 1358859117 2005934887 3829512057 6017804661 14041544209 42124632627