Search a number
-
+
125026086504 = 233114131213701
BaseRepresentation
bin111010001110000100…
…0101010111001101000
3102221201021122021000110
41310130020222321220
54022023134232004
6133234114534320
712014156125554
oct1643410527150
9387637567013
10125026086504
1149028a6a320
1220292b973a0
13ba3657a857
1460a0a78864
1533bb361589
hex1d1c22ae68

125026086504 has 128 divisors (see below), whose sum is σ = 349503154560. Its totient is φ = 36940800000.

The previous prime is 125026086487. The next prime is 125026086511. The reversal of 125026086504 is 405680620521.

125026086504 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 33779854 + ... + 33783554.

It is an arithmetic number, because the mean of its divisors is an integer number (2730493395).

Almost surely, 2125026086504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125026086504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174751577280).

125026086504 is an abundant number, since it is smaller than the sum of its proper divisors (224477068056).

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

125026086504 is a wasteful number, since it uses less digits than its factorization.

125026086504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6883 (or 6879 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 125026086504 in words is "one hundred twenty-five billion, twenty-six million, eighty-six thousand, five hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 41 44 66 82 88 123 132 164 246 264 328 451 492 902 984 1353 1804 2706 3121 3608 3701 5412 6242 7402 9363 10824 11103 12484 14804 18726 22206 24968 29608 34331 37452 40711 44412 68662 74904 81422 88824 102993 122133 127961 137324 151741 162844 205986 244266 255922 274648 303482 325688 383883 411972 455223 488532 511844 606964 767766 823944 910446 977064 1023688 1213928 1407571 1535532 1669151 1820892 2815142 3071064 3338302 3641784 4222713 5007453 5630284 6676604 8445426 10014906 11260568 11550821 13353208 16890852 20029812 23101642 33781704 34652463 40059624 46203284 69304926 92406568 127059031 138609852 254118062 277219704 381177093 473583661 508236124 762354186 947167322 1016472248 1420750983 1524708372 1894334644 2841501966 3049416744 3788669288 5209420271 5683003932 10418840542 11366007864 15628260813 20837681084 31256521626 41675362168 62513043252 125026086504