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20257660716125 = 537612235633023
BaseRepresentation
bin1001001101100100110101…
…01010111100010001011101
32122201121120012120001200212
410212302122222330101131
510123400142120404000
6111030124005302205
74160365500665660
oct446623252742135
978647505501625
1020257660716125
1165002533a3738
1223320a1704965
13b3c39b512341
145006942596d7
15251e354cbc35
hex126c9aabc45d

20257660716125 has 128 divisors (see below), whose sum is σ = 29560731992064. Its totient is φ = 13573325088000.

The previous prime is 20257660716109. The next prime is 20257660716127. The reversal of 20257660716125 is 52161706675202.

It is not a de Polignac number, because 20257660716125 - 24 = 20257660716109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20257660716127) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 6701176364 + ... + 6701179386.

It is an arithmetic number, because the mean of its divisors is an integer number (230943218688).

Almost surely, 220257660716125 is an apocalyptic number.

20257660716125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20257660716125 is a deficient number, since it is larger than the sum of its proper divisors (9303071275939).

20257660716125 is a wasteful number, since it uses less digits than its factorization.

20257660716125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3892 (or 3882 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 50.

The spelling of 20257660716125 in words is "twenty trillion, two hundred fifty-seven billion, six hundred sixty million, seven hundred sixteen thousand, one hundred twenty-five".

Divisors: 1 5 7 25 35 61 125 175 223 305 427 563 875 1115 1525 1561 2135 2815 3023 3941 5575 7625 7805 10675 13603 14075 15115 19705 21161 27875 34343 39025 53375 68015 70375 75575 95221 98525 105805 125549 171715 184403 195125 240401 340075 377875 476105 492625 529025 627745 674129 858575 878843 922015 1202005 1290821 1700375 1701949 2380525 2645125 3138725 3370645 4292875 4394215 4610075 4718903 6010025 6454105 7658489 8509745 11902625 11913643 15693625 16853225 21971075 23050375 23594515 30050125 32270525 38292445 41121869 42548725 53609423 59568215 84266125 103818889 109855375 117972575 161352625 191462225 205609345 212743625 268047115 287853083 297841075 379534627 519094445 589862875 726732223 957311125 1028046725 1340235575 1439265415 1489205375 1897673135 2595472225 2656742389 3633661115 5140233625 6701177875 7196327075 9488365675 12977361125 13283711945 18168305575 23151612247 35981635375 47441828375 66418559725 90841527875 115758061235 162061285729 332092798625 578790306175 810306428645 2893951530875 4051532143225 20257660716125