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125244152704 = 2711679713687
BaseRepresentation
bin111010010100100100…
…0100001101110000000
3102222021110222011121101
41310221020201232000
54023000000341304
6133311504504144
712022444506226
oct1645110415600
9388243864541
10125244152704
1149130071720
122033401b054
13ba6c7bbcc8
1460c1a00b16
1533d05888a4
hex1d29221b80

125244152704 has 128 divisors (see below), whose sum is σ = 279123505920. Its totient is φ = 55497277440.

The previous prime is 125244152701. The next prime is 125244152741. The reversal of 125244152704 is 407251442521.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125244152701) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9143749 + ... + 9157435.

It is an arithmetic number, because the mean of its divisors is an integer number (2180652390).

Almost surely, 2125244152704 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 125244152704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139561752960).

125244152704 is an abundant number, since it is smaller than the sum of its proper divisors (153879353216).

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

125244152704 is a wasteful number, since it uses less digits than its factorization.

125244152704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13876 (or 13864 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 37.

The spelling of 125244152704 in words is "one hundred twenty-five billion, two hundred forty-four million, one hundred fifty-two thousand, seven hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 67 88 97 128 134 176 194 268 352 388 536 704 737 776 1067 1072 1408 1474 1552 2134 2144 2948 3104 4268 4288 5896 6208 6499 8536 8576 11792 12416 12998 13687 17072 23584 25996 27374 34144 47168 51992 54748 68288 71489 94336 103984 109496 136576 142978 150557 207968 218992 285956 301114 415936 437984 571912 602228 831872 875968 917029 1143824 1204456 1327639 1751936 1834058 2287648 2408912 2655278 3668116 4575296 4817824 5310556 7336232 9150592 9635648 10087319 10621112 14604029 14672464 19271296 20174638 21242224 29208058 29344928 40349276 42484448 58416116 58689856 80698552 84968896 88951813 116832232 117379712 161397104 169937792 177903626 233664464 322794208 355807252 467328928 645588416 711614504 934657856 978469943 1291176832 1423229008 1869315712 1956939886 2846458016 3913879772 5692916032 7827759544 11385832064 15655519088 31311038176 62622076352 125244152704