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25125455040 = 263573738907
BaseRepresentation
bin10111011001100110…
…000000010011000000
32101212000222100202220
4113121212000103000
5402424104030130
615313101411040
71546426562340
oct273146002300
971760870686
1025125455040
11a723734284
124a52569a80
1324a552037a
141304cc2d20
159c0c04410
hex5d99804c0

25125455040 has 112 divisors (see below), whose sum is σ = 91169532672. Its totient is φ = 5742959616.

The previous prime is 25125455039. The next prime is 25125455041. The reversal of 25125455040 is 4055452152.

It is an interprime number because it is at equal distance from previous prime (25125455039) and next prime (25125455041).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×251254550402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 25125454992 and 25125455010.

It is not an unprimeable number, because it can be changed into a prime (25125455041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1862734 + ... + 1876173.

Almost surely, 225125455040 is an apocalyptic number.

25125455040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25125455040 is an abundant number, since it is smaller than the sum of its proper divisors (66044077632).

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

25125455040 is a wasteful number, since it uses less digits than its factorization.

25125455040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3738934 (or 3738924 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 33.

The spelling of 25125455040 in words is "twenty-five billion, one hundred twenty-five million, four hundred fifty-five thousand, 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 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 3738907 7477814 11216721 14955628 18694535 22433442 26172349 29911256 37389070 44866884 52344698 56083605 59822512 74778140 78517047 89733768 104689396 112167210 119645024 130861745 149556280 157034094 179467536 209378792 224334420 239290048 261723490 299112560 314068188 358935072 392585235 418757584 448668840 523446980 598225120 628136376 717870144 785170470 837515168 897337680 1046893960 1196450240 1256272752 1570340940 1675030336 1794675360 2093787920 2512545504 3140681880 3589350720 4187575840 5025091008 6281363760 8375151680 12562727520 25125455040