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125350413804 = 2232711183124697
BaseRepresentation
bin111010010111101110…
…1111000010111101100
3102222112212220210102200
41310233131320113230
54023204201220204
6133330222221500
712025204636320
oct1645735702754
9388485823380
10125350413804
114918504a210
1220363724890
13ba888155b5
1460d1b81980
1533d9a78539
hex1d2f7785ec

125350413804 has 144 divisors (see below), whose sum is σ = 395275485696. Its totient is φ = 32539449600.

The previous prime is 125350413751. The next prime is 125350413883. The reversal of 125350413804 is 408314053521.

125350413804 is a `hidden beast` number, since 1 + 2 + 535 + 0 + 41 + 3 + 80 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5063184 + ... + 5087880.

Almost surely, 2125350413804 is an apocalyptic number.

125350413804 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125350413804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197637742848).

125350413804 is an abundant number, since it is smaller than the sum of its proper divisors (269925071892).

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

125350413804 is a wasteful number, since it uses less digits than its factorization.

125350413804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26556 (or 26551 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 125350413804 in words is "one hundred twenty-five billion, three hundred fifty million, four hundred thirteen thousand, eight hundred four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 1831 2772 3662 5493 7324 10986 12817 16479 20141 21972 24697 25634 32958 38451 40282 49394 51268 60423 65916 74091 76902 80564 98788 115353 120846 140987 148182 153804 172879 181269 222273 230706 241692 271667 281974 296364 345758 362538 422961 444546 461412 518637 543334 563948 691516 725076 815001 845922 889092 1037274 1086668 1268883 1555911 1630002 1691844 1901669 2074548 2445003 2537766 3111822 3260004 3803338 4890006 5075532 5705007 6223644 7606676 9780012 11410014 17115021 22820028 34230042 45220207 68460084 90440414 135660621 180880828 271321242 316541449 406981863 497422277 542642484 633082898 813963726 949624347 994844554 1266165796 1492266831 1627927452 1899248694 1989689108 2848873041 2984533662 3481955939 3798497388 4476800493 5697746082 5969067324 6963911878 8953600986 10445867817 11395492164 13927823756 17907201972 20891735634 31337603451 41783471268 62675206902 125350413804