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25825525000 = 23551193911
BaseRepresentation
bin11000000011010100…
…100011110100001000
32110122211021121012221
4120003110203310020
5410342313300000
615510350343424
71602660224542
oct300324436410
973584247187
1025825525000
11aa529211a0
125008abab74
132587585552
14136dc78692
15a123dc61a
hex603523d08

25825525000 has 96 divisors (see below), whose sum is σ = 66027648960. Its totient is φ = 9391000000.

The previous prime is 25825524971. The next prime is 25825525013. The reversal of 25825525000 is 52552852.

It is a happy number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 228045 + ... + 321955.

It is an arithmetic number, because the mean of its divisors is an integer number (687788010).

Almost surely, 225825525000 is an apocalyptic number.

25825525000 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 25825525000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33013824480).

25825525000 is an abundant number, since it is smaller than the sum of its proper divisors (40202123960).

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

25825525000 is an equidigital number, since it uses as much as digits as its factorization.

25825525000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93953 (or 93929 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 34.

The spelling of 25825525000 in words is "twenty-five billion, eight hundred twenty-five million, five hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 625 1000 1100 1250 1375 2200 2500 2750 3125 5000 5500 6250 6875 11000 12500 13750 25000 27500 34375 55000 68750 93911 137500 187822 275000 375644 469555 751288 939110 1033021 1878220 2066042 2347775 3756440 4132084 4695550 5165105 8264168 9391100 10330210 11738875 18782200 20660420 23477750 25825525 41320840 46955500 51651050 58694375 93911000 103302100 117388750 129127625 206604200 234777500 258255250 293471875 469555000 516510500 586943750 645638125 1033021000 1173887500 1291276250 2347775000 2582552500 3228190625 5165105000 6456381250 12912762500 25825525000