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2625095393228 = 22721141271109583
BaseRepresentation
bin100110001100110011111…
…000001101111111001100
3100021221211102002222011202
4212030303320031333030
5321002143410040403
65325541400405032
7360441211451600
oct46146370157714
910257742088152
102625095393228
11922329a05790
12364917176778
13160712417a89
14910aba2d500
15484410b2688
hex26333e0dfcc

2625095393228 has 144 divisors (see below), whose sum is σ = 5994037905408. Its totient is φ = 994127904000.

The previous prime is 2625095393203. The next prime is 2625095393233. The reversal of 2625095393228 is 8223935905262.

It is a super-2 number, since 2×26250953932282 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23900525 + ... + 24010107.

It is an arithmetic number, because the mean of its divisors is an integer number (41625263232).

Almost surely, 22625095393228 is an apocalyptic number.

2625095393228 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2625095393228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2997018952704).

2625095393228 is an abundant number, since it is smaller than the sum of its proper divisors (3368942512180).

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

2625095393228 is a wasteful number, since it uses less digits than its factorization.

2625095393228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109924 (or 109915 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 56.

The spelling of 2625095393228 in words is "two trillion, six hundred twenty-five billion, ninety-five million, three hundred ninety-three thousand, two hundred twenty-eight".

Divisors: 1 2 4 7 11 14 22 28 41 44 49 77 82 98 154 164 196 271 287 308 451 539 542 574 902 1078 1084 1148 1804 1897 2009 2156 2981 3157 3794 4018 5962 6314 7588 8036 11111 11924 12628 13279 20867 22099 22222 26558 41734 44198 44444 53116 77777 83468 88396 109583 122221 146069 155554 219166 244442 292138 311108 438332 488884 544439 584276 767081 855547 1088878 1205413 1534162 1711094 2177756 2410826 3068324 3422188 4492903 4821652 5369567 5988829 8437891 8985806 10739134 11977658 16875782 17971612 21478268 23955316 29696993 31450321 33751564 49421933 59065237 59393986 62900642 98843866 118130474 118787972 125801284 197687732 207878951 220152247 236260948 326666923 345953531 415757902 440304494 653333846 691907062 831515804 880608988 1217576713 1306667692 1383814124 1455152657 2286668461 2421674717 2435153426 2910305314 4573336922 4843349434 4870306852 5820610628 8523036991 9146673844 9686698868 13393343843 16006679227 17046073982 26786687686 32013358454 34092147964 53573375372 59661258937 64026716908 93753406901 119322517874 187506813802 238645035748 375013627604 656273848307 1312547696614 2625095393228