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25130643240 = 23355310936251
BaseRepresentation
bin10111011001111001…
…110010111100101000
32101212101201221122110
4113121321302330220
5402431421040430
615313404522320
71546521641313
oct273171627450
971771657573
1025130643240
11a72665824a
124a542503a0
1324a6618a01
14130587397a
159c13cb7b0
hex5d9e72f28

25130643240 has 128 divisors (see below), whose sum is σ = 77521276800. Its totient is φ = 6514560000.

The previous prime is 25130643233. The next prime is 25130643247. The reversal of 25130643240 is 4234603152.

It is an interprime number because it is at equal distance from previous prime (25130643233) and next prime (25130643247).

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 = 25130643198 and 25130643207.

It is not an unprimeable number, because it can be changed into a prime (25130643247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 675115 + ... + 711365.

It is an arithmetic number, because the mean of its divisors is an integer number (605634975).

Almost surely, 225130643240 is an apocalyptic number.

25130643240 is a gapful number since it is divisible by the number (20) 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 25130643240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38760638400).

25130643240 is an abundant number, since it is smaller than the sum of its proper divisors (52390633560).

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

25130643240 is a wasteful number, since it uses less digits than its factorization.

25130643240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36427 (or 36423 counting only the distinct ones).

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

The spelling of 25130643240 in words is "twenty-five billion, one hundred thirty million, six hundred forty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 109 120 159 212 218 265 318 327 424 436 530 545 636 654 795 872 1060 1090 1272 1308 1590 1635 2120 2180 2616 3180 3270 4360 5777 6360 6540 11554 13080 17331 23108 28885 34662 36251 46216 57770 69324 72502 86655 108753 115540 138648 145004 173310 181255 217506 231080 290008 346620 362510 435012 543765 693240 725020 870024 1087530 1450040 1921303 2175060 3842606 3951359 4350120 5763909 7685212 7902718 9606515 11527818 11854077 15370424 15805436 19213030 19756795 23055636 23708154 28819545 31610872 38426060 39513590 46111272 47416308 57639090 59270385 76852120 79027180 94832616 115278180 118540770 158054360 209422027 230556360 237081540 418844054 474163080 628266081 837688108 1047110135 1256532162 1675376216 2094220270 2513064324 3141330405 4188440540 5026128648 6282660810 8376881080 12565321620 25130643240