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125500345014 = 231125331710289
BaseRepresentation
bin111010011100001100…
…1110100101010110110
3102222221100001002101110
41310320121310222312
54024011042020024
6133353135535450
712032005221462
oct1647031645266
9388840032343
10125500345014
1149251744800
12203a598a586
13bab08bc0a5
146107a4d4a2
1533e7ce2629
hex1d38674ab6

125500345014 has 96 divisors (see below), whose sum is σ = 282013008480. Its totient is φ = 37191531520.

The previous prime is 125500345013. The next prime is 125500345027. The reversal of 125500345014 is 410543005521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125500345013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12192382 + ... + 12202670.

It is an arithmetic number, because the mean of its divisors is an integer number (2937635505).

Almost surely, 2125500345014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125500345014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141006504240).

125500345014 is an abundant number, since it is smaller than the sum of its proper divisors (156512663466).

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

125500345014 is a wasteful number, since it uses less digits than its factorization.

125500345014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10686 (or 10675 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 125500345014 in words is "one hundred twenty-five billion, five hundred million, three hundred forty-five thousand, fourteen".

Divisors: 1 2 3 6 11 22 33 53 66 106 121 159 242 317 318 363 583 634 726 951 1166 1749 1902 3487 3498 6413 6974 10289 10461 12826 16801 19239 20578 20922 30867 33602 38357 38478 50403 61734 76714 100806 113179 115071 184811 226358 230142 339537 369622 545317 554433 679074 1090634 1108866 1244969 1635951 2032921 2489938 3261613 3271902 3734907 4065842 5998487 6098763 6523226 7469814 9784839 11996974 12197526 17995461 19569678 35877743 35990922 65983357 71755486 107633229 131966714 172865489 197950071 215266458 345730978 394655173 395900142 518596467 789310346 1037192934 1183965519 1901520379 2367931038 3803040758 5704561137 11409122274 20916724169 41833448338 62750172507 125500345014