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4257112117524 = 2237467108522283
BaseRepresentation
bin111101111100101111101…
…001111101000100010100
3120001222100110111120011120
4331330233221331010110
51024222031200230044
613015405035003540
7616365130643310
oct75745751750424
916058313446146
104257112117524
1113a1481897aa2
125890822995b0
1324b5a0487696
1410a08c534b40
1575b0d388519
hex3df2fa7d114

4257112117524 has 48 divisors (see below), whose sum is σ = 11376608076288. Its totient is φ = 1213713201888.

The previous prime is 4257112117523. The next prime is 4257112117537.

4257112117524 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4257112117523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54221914 + ... + 54300369.

It is an arithmetic number, because the mean of its divisors is an integer number (237012668256).

Almost surely, 24257112117524 is an apocalyptic number.

It is an amenable number.

4257112117524 is an abundant number, since it is smaller than the sum of its proper divisors (7119495958764).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4257112117524 is a wasteful number, since it uses less digits than its factorization.

4257112117524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108522764 (or 108522762 counting only the distinct ones).

The product of its digits is 156800, while the sum is 42.

The spelling of 4257112117524 in words is "four trillion, two hundred fifty-seven billion, one hundred twelve million, one hundred seventeen thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 467 934 1401 1868 2802 3269 5604 6538 9807 13076 19614 39228 108522283 217044566 325566849 434089132 651133698 759655981 1302267396 1519311962 2278967943 3038623924 4557935886 9115871772 50679906161 101359812322 152039718483 202719624644 304079436966 354759343127 608158873932 709518686254 1064278029381 1419037372508 2128556058762 4257112117524