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60401014110125 = 53131492089119417
BaseRepresentation
bin11011011101111001101001…
…11111010111011110101101
321220212021120112012000112022
431232330310333113132231
530404102234103011000
6332243502014315525
715502554302555633
oct1556746477273655
9256767515160468
1060401014110125
1118277a208a5447
1269361554b8ba5
132791a393272a0
1410cb5d347b353
156eb280518585
hex36ef34fd77ad

60401014110125 has 64 divisors (see below), whose sum is σ = 81763593912000. Its totient is φ = 44282891980800.

The previous prime is 60401014110091. The next prime is 60401014110181. The reversal of 60401014110125 is 52101141010406.

It can be written as a sum of positive squares in 32 ways, for example, as 57696587813929 + 2704426296196 = 7595827^2 + 1644514^2 .

It is not a de Polignac number, because 60401014110125 - 222 = 60401009915821 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 60401014110094 and 60401014110103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 505739417 + ... + 505858833.

It is an arithmetic number, because the mean of its divisors is an integer number (1277556154875).

Almost surely, 260401014110125 is an apocalyptic number.

60401014110125 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

60401014110125 is a deficient number, since it is larger than the sum of its proper divisors (21362579801875).

60401014110125 is a wasteful number, since it uses less digits than its factorization.

60401014110125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121683 (or 121673 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 26.

The spelling of 60401014110125 in words is "sixty trillion, four hundred one billion, fourteen million, one hundred ten thousand, one hundred twenty-five".

Divisors: 1 5 13 25 65 125 149 325 745 1625 1937 2089 3725 9685 10445 18625 27157 48425 52225 119417 135785 242125 261125 311261 597085 678925 1552421 1556305 2985425 3394625 4046393 7762105 7781525 14927125 17793133 20231965 38810525 38907625 88965665 101159825 194052625 231310729 249462113 444828325 505799125 1156553645 1247310565 2224141625 3243007469 5782768225 6236552825 16215037345 28913841125 31182764125 37169854837 81075186725 185849274185 405375933625 483208112881 929246370925 2416040564405 4646231854625 12080202822025 60401014110125