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10420016280025 = 5211219230892
BaseRepresentation
bin1001011110100001100101…
…0111100111000111011001
31100220010212211222000001211
42113220121113213013121
52331210143131430100
634054520035343121
72123551500665662
oct227503127470731
940803784860054
1010420016280025
1133581165a4900
121203576451aa1
135a77ac651631
1428048d814369
151310adc211ba
hex97a195e71d9

10420016280025 has 81 divisors (see below), whose sum is σ = 14993904614493. Its totient is φ = 7177017196800.

The previous prime is 10420016280019. The next prime is 10420016280053. The reversal of 10420016280025 is 52008261002401.

The square root of 10420016280025 is 3228005.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1256342831689 + 9163673448336 = 1120867^2 + 3027156^2 .

It is not a de Polignac number, because 10420016280025 - 215 = 10420016247257 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3373263681 + ... + 3373266769.

Almost surely, 210420016280025 is an apocalyptic number.

10420016280025 is the 3228005-th square number.

10420016280025 is the 1614003-rd centered octagonal number.

It is an amenable number.

10420016280025 is a deficient number, since it is larger than the sum of its proper divisors (4573888334468).

10420016280025 is an frugal number, since it uses more digits than its factorization.

10420016280025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6248 (or 3124 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

Adding to 10420016280025 its reverse (52008261002401), we get a palindrome (62428277282426).

The spelling of 10420016280025 in words is "ten trillion, four hundred twenty billion, sixteen million, two hundred eighty thousand, twenty-five".

Divisors: 1 5 11 19 25 55 95 121 209 275 361 475 605 1045 1805 2299 3025 3089 3971 5225 9025 11495 15445 19855 33979 43681 57475 58691 77225 99275 169895 218405 293455 373769 645601 849475 1092025 1115129 1467275 1868845 3228005 5575645 7101611 9344225 9541921 12266419 16140025 27878225 35508055 47709605 61332095 104961131 134930609 177540275 181296499 238548025 306660475 524805655 674653045 906482495 1154572441 1994261489 2624028275 3373265225 3444633481 4532412475 5772862205 9971307445 17223167405 21936876379 28864311025 37890968291 49856537225 86115837025 109684381895 189454841455 416800651201 548421909475 947274207275 2084003256005 10420016280025