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25320759680320 = 2651313744428621
BaseRepresentation
bin1011100000111011100101…
…11000101101110101000000
310022122122022021111200112221
411300131302320231311000
511304323403434232240
6125504110231500424
75222236013050636
oct560356270556500
9108578267450487
1025320759680320
118082523801995
122a0b3bb227714
1311189780881c0
14637761c9d356
152dd9b7542a4a
hex170772e2dd40

25320759680320 has 112 divisors (see below), whose sum is σ = 65407106450448. Its totient is φ = 9280961003520.

The previous prime is 25320759680309. The next prime is 25320759680383. The reversal of 25320759680320 is 2308695702352.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 6380716416064 + 18940043264256 = 2526008^2 + 4352016^2 .

It is a super-2 number, since 2×253207596803202 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21644391 + ... + 22784230.

It is an arithmetic number, because the mean of its divisors is an integer number (583992021879).

Almost surely, 225320759680320 is an apocalyptic number.

25320759680320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25320759680320 is an abundant number, since it is smaller than the sum of its proper divisors (40086346770128).

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

25320759680320 is a wasteful number, since it uses less digits than its factorization.

25320759680320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44428788 (or 44428778 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 52.

The spelling of 25320759680320 in words is "twenty-five trillion, three hundred twenty billion, seven hundred fifty-nine million, six hundred eighty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 137 160 208 260 274 320 416 520 548 685 832 1040 1096 1370 1781 2080 2192 2740 3562 4160 4384 5480 7124 8768 8905 10960 14248 17810 21920 28496 35620 43840 56992 71240 113984 142480 284960 569920 44428621 88857242 177714484 222143105 355428968 444286210 577572073 710857936 888572420 1155144146 1421715872 1777144840 2310288292 2843431744 2887860365 3554289680 4620576584 5775720730 6086721077 7108579360 9241153168 11551441460 12173442154 14217158720 18482306336 23102882920 24346884308 30433605385 36964612672 46205765840 48693768616 60867210770 79127374001 92411531680 97387537232 121734421540 158254748002 184823063360 194775074464 243468843080 316509496004 389550148928 395636870005 486937686160 633018992008 791273740010 973875372320 1266037984016 1582547480020 1947750744640 2532075968032 3165094960040 5064151936064 6330189920080 12660379840160 25320759680320