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125241333552 = 24324194122543
BaseRepresentation
bin111010010100011110…
…1110001011100110000
3102222021021122221110100
41310220331301130300
54022443240133202
6133311324232400
712022411525146
oct1645075613460
9388237587410
10125241333552
1149129516645
122033309b700
13ba6c042a7a
1460c14a9596
1533d01cd41c
hex1d28f71730

125241333552 has 120 divisors (see below), whose sum is σ = 359448118848. Its totient is φ = 40683801600.

The previous prime is 125241333551. The next prime is 125241333557. The reversal of 125241333552 is 255333142521.

125241333552 is a `hidden beast` number, since 12 + 52 + 4 + 13 + 33 + 552 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (125241333551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5544393 + ... + 5566935.

Almost surely, 2125241333552 is an apocalyptic number.

125241333552 is a gapful number since it is divisible by the number (12) 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 125241333552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179724059424).

125241333552 is an abundant number, since it is smaller than the sum of its proper divisors (234206785296).

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

125241333552 is a wasteful number, since it uses less digits than its factorization.

125241333552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23539 (or 23530 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The spelling of 125241333552 in words is "one hundred twenty-five billion, two hundred forty-one million, three hundred thirty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 941 984 1476 1882 1968 2823 2952 3764 5646 5904 7528 8469 11292 15056 16938 22543 22584 33876 38581 45086 45168 67629 67752 77162 90172 115743 135258 135504 154324 180344 202887 231486 270516 308648 347229 360688 405774 462972 541032 617296 694458 811548 924263 925944 1082064 1388916 1623096 1848526 1851888 2772789 2777832 3246192 3697052 5545578 5555664 7394104 8318367 11091156 14788208 16636734 21212963 22182312 33273468 42425926 44364624 63638889 66546936 84851852 127277778 133093872 169703704 190916667 254555556 339407408 381833334 509111112 763666668 869731483 1018222224 1527333336 1739462966 2609194449 3054666672 3478925932 5218388898 6957851864 7827583347 10436777796 13915703728 15655166694 20873555592 31310333388 41747111184 62620666776 125241333552