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25320414130320 = 24351943129133079
BaseRepresentation
bin1011100000111010111100…
…10010100011000010010000
310022122121102012021221001210
411300131132102203002100
511304322202004132240
6125504012045300120
75222224315656351
oct560353622430220
9108577365257053
1025320414130320
118082366747081
122a0b323564640
1311189215cc64a
1463772c02dd28
152dd997037780
hex17075e4a3090

25320414130320 has 160 divisors (see below), whose sum is σ = 84546010137600. Its totient is φ = 6247974845952.

The previous prime is 25320414130313. The next prime is 25320414130381. The reversal of 25320414130320 is 2303141402352.

It is a super-2 number, since 2×253204141303202 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64370460 + ... + 64762619.

It is an arithmetic number, because the mean of its divisors is an integer number (528412563360).

Almost surely, 225320414130320 is an apocalyptic number.

25320414130320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25320414130320 is an abundant number, since it is smaller than the sum of its proper divisors (59225596007280).

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

25320414130320 is a wasteful number, since it uses less digits than its factorization.

25320414130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129133157 (or 129133151 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 25320414130320 its reverse (2303141402352), we get a palindrome (27623555532672).

The spelling of 25320414130320 in words is "twenty-five trillion, three hundred twenty billion, four hundred fourteen million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 43 48 57 60 76 80 86 95 114 120 129 152 172 190 215 228 240 258 285 304 344 380 430 456 516 570 645 688 760 817 860 912 1032 1140 1290 1520 1634 1720 2064 2280 2451 2580 3268 3440 4085 4560 4902 5160 6536 8170 9804 10320 12255 13072 16340 19608 24510 32680 39216 49020 65360 98040 196080 129133079 258266158 387399237 516532316 645665395 774798474 1033064632 1291330790 1549596948 1936996185 2066129264 2453528501 2582661580 3099193896 3873992370 4907057002 5165323160 5552722397 6198387792 7360585503 7747984740 9814114004 10330646320 11105444794 12267642505 14721171006 15495969480 16658167191 19628228008 22210889588 24535285010 27763611985 29442342012 30991938960 33316334382 36802927515 39256456016 44421779176 49070570020 55527223970 58884684024 66632668764 73605855030 83290835955 88843558352 98141140040 105501725543 111054447940 117769368048 133265337528 147211710060 166581671910 196282280080 211003451086 222108895880 266530675056 294423420120 316505176629 333163343820 422006902172 444217791760 527508627715 588846840240 633010353258 666326687640 844013804344 1055017255430 1266020706516 1332653375280 1582525883145 1688027608688 2110034510860 2532041413032 3165051766290 4220069021720 5064082826064 6330103532580 8440138043440 12660207065160 25320414130320