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25420160640 = 273571891381
BaseRepresentation
bin10111101011001010…
…001101111010000000
32102121120111221212010
4113223022031322000
5404030030120030
615402230132520
71556635541340
oct275312157200
972546457763
1025420160640
11a865021a26
124b151b1140
1325215b6394
1413320b8d20
159dba196b0
hex5eb28de80

25420160640 has 128 divisors (see below), whose sum is σ = 92602062720. Its totient is φ = 5810319360.

The previous prime is 25420160617. The next prime is 25420160651. The reversal of 25420160640 is 4606102452.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 25420160598 and 25420160607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 932251 + ... + 959130.

It is an arithmetic number, because the mean of its divisors is an integer number (723453615).

Almost surely, 225420160640 is an apocalyptic number.

25420160640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25420160640 is an abundant number, since it is smaller than the sum of its proper divisors (67181902080).

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

25420160640 is a wasteful number, since it uses less digits than its factorization.

25420160640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1891410 (or 1891398 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 25420160640 in words is "twenty-five billion, four hundred twenty million, one hundred sixty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1120 1344 1680 1920 2240 2688 3360 4480 6720 13440 1891381 3782762 5674143 7565524 9456905 11348286 13239667 15131048 18913810 22696572 26479334 28370715 30262096 37827620 39719001 45393144 52958668 56741430 60524192 66198335 75655240 79438002 90786288 105917336 113482860 121048384 132396670 151310480 158876004 181572576 198595005 211834672 226965720 242096768 264793340 302620960 317752008 363145152 397190010 423669344 453931440 529586680 605241920 635504016 726290304 794380020 847338688 907862880 1059173360 1210483840 1271008032 1588760040 1694677376 1815725760 2118346720 2542016064 3177520080 3631451520 4236693440 5084032128 6355040160 8473386880 12710080320 25420160640