Search a number
-
+
25135353055000 = 2354281169310567
BaseRepresentation
bin1011011011100010001111…
…10010100100011100011000
310021222220201222020020200001
411231301013302210130120
511243304200340230000
6125243004412222344
75202653323535536
oct555610762443430
9107886658206601
1025135353055000
118010930582121
12299b496a6a9b4
13110433b293c96
1462c7b3dd5156
152d8c6536146a
hex16dc47ca4718

25135353055000 has 160 divisors (see below), whose sum is σ = 59142218556960. Its totient is φ = 10011496320000.

The previous prime is 25135353054937. The next prime is 25135353055009. The reversal of 25135353055000 is 55035353152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25135353055009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2378659717 + ... + 2378670283.

It is an arithmetic number, because the mean of its divisors is an integer number (369638865981).

Almost surely, 225135353055000 is an apocalyptic number.

25135353055000 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 25135353055000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29571109278480).

25135353055000 is an abundant number, since it is smaller than the sum of its proper divisors (34006865501960).

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

25135353055000 is a wasteful number, since it uses less digits than its factorization.

25135353055000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12567 (or 12548 counting only the distinct ones).

The product of its (nonzero) digits is 168750, while the sum is 37.

The spelling of 25135353055000 in words is "twenty-five trillion, one hundred thirty-five billion, three hundred fifty-three million, fifty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 281 500 562 625 1000 1124 1250 1405 1693 2248 2500 2810 3386 5000 5620 6772 7025 8465 10567 11240 13544 14050 16930 21134 28100 33860 35125 42268 42325 52835 56200 67720 70250 84536 84650 105670 140500 169300 175625 211340 211625 264175 281000 338600 351250 422680 423250 475733 528350 702500 846500 951466 1056700 1058125 1320875 1405000 1693000 1902932 2113400 2116250 2378665 2641750 2969327 3805864 4232500 4757330 5283500 5938654 6604375 8465000 9514660 10567000 11877308 11893325 13208750 14846635 17889931 19029320 23754616 23786650 26417500 29693270 35779862 47573300 52835000 59386540 59466625 71559724 74233175 89449655 95146600 118773080 118933250 143119448 148466350 178899310 237866500 296932700 297333125 357798620 371165875 447248275 475733000 593865400 594666250 715597240 742331750 894496550 1189332500 1484663500 1788993100 1855829375 2236241375 2378665000 2969327000 3577986200 3711658750 4472482750 5027070611 7423317500 8944965500 10054141222 11181206875 14846635000 17889931000 20108282444 22362413750 25135353055 40216564888 44724827500 50270706110 89449655000 100541412220 125676765275 201082824440 251353530550 502707061100 628383826375 1005414122200 1256767652750 2513535305500 3141919131875 5027070611000 6283838263750 12567676527500 25135353055000