Search a number
-
+
67130103750 = 235442312
BaseRepresentation
bin111110100001010001…
…000001011111000110
320102021102010121022220
4332201101001133012
52044440301310000
650501131033210
74564355316123
oct764121013706
9212242117286
1067130103750
1126519214596
121101589b806
13643a9b6ba8
14336b7d974a
151b2d6bb1a0
hexfa14417c6

67130103750 has 60 divisors (see below), whose sum is σ = 167811217596. Its totient is φ = 17897130000.

The previous prime is 67130103721. The next prime is 67130103763. The reversal of 67130103750 is 5730103176.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 15864135 + ... + 15868365.

Almost surely, 267130103750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67130103750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83905608798).

67130103750 is an abundant number, since it is smaller than the sum of its proper divisors (100681113846).

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

67130103750 is an frugal number, since it uses more digits than its factorization.

67130103750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8487 (or 4241 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 33.

The spelling of 67130103750 in words is "sixty-seven billion, one hundred thirty million, one hundred three thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 125 150 250 375 625 750 1250 1875 3750 4231 8462 12693 21155 25386 42310 63465 105775 126930 211550 317325 528875 634650 1057750 1586625 2644375 3173250 5288750 7933125 15866250 17901361 35802722 53704083 89506805 107408166 179013610 268520415 447534025 537040830 895068050 1342602075 2237670125 2685204150 4475340250 6713010375 11188350625 13426020750 22376701250 33565051875 67130103750