Search a number
-
+
12925485440 = 27575415333
BaseRepresentation
bin11000000100110101…
…10100000110000000
31020100210120200200222
430002122310012000
5202432411013230
65534330002212
7635206546010
oct140232640600
936323520628
1012925485440
11553311057a
122608876368
1312acb1234a
148a88cdc40
15509b336e5
hex3026b4180

12925485440 has 128 divisors (see below), whose sum is σ = 35386182720. Its totient is φ = 4422574080.

The previous prime is 12925485437. The next prime is 12925485449. The reversal of 12925485440 is 4458452921.

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

It is a junction number, because it is equal to n+sod(n) for n = 12925485391 and 12925485400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12925485449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2421014 + ... + 2426346.

Almost surely, 212925485440 is an apocalyptic number.

12925485440 is a gapful number since it is divisible by the number (10) 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 12925485440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17693091360).

12925485440 is an abundant number, since it is smaller than the sum of its proper divisors (22460697280).

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

12925485440 is an equidigital number, since it uses as much as digits as its factorization.

12925485440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5900 (or 5888 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 44.

The spelling of 12925485440 in words is "twelve billion, nine hundred twenty-five million, four hundred eighty-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 541 560 640 896 1082 1120 2164 2240 2705 3787 4328 4480 5333 5410 7574 8656 10666 10820 15148 17312 18935 21332 21640 26665 30296 34624 37331 37870 42664 43280 53330 60592 69248 74662 75740 85328 86560 106660 121184 149324 151480 170656 173120 186655 213320 242368 298648 302960 341312 346240 373310 426640 484736 597296 605920 682624 746620 853280 1194592 1211840 1493240 1706560 2389184 2423680 2885153 2986480 3413120 4778368 5770306 5972960 11540612 11945920 14425765 20196071 23081224 23891840 28851530 40392142 46162448 57703060 80784284 92324896 100980355 115406120 161568568 184649792 201960710 230812240 323137136 369299584 403921420 461624480 646274272 807842840 923248960 1292548544 1615685680 1846497920 2585097088 3231371360 6462742720 12925485440