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26525428000 = 255310165657
BaseRepresentation
bin11000101101000010…
…011110100100100000
32112110121021100122021
4120231002132210200
5413311002144000
620104031551224
71626216263221
oct305502364440
975417240567
1026525428000
1110281a04725
12518338b514
13266958c736
1413d8bc9248
15a53a9111a
hex62d09e920

26525428000 has 96 divisors (see below), whose sum is σ = 65819256048. Its totient is φ = 10504960000.

The previous prime is 26525427989. The next prime is 26525428001. The reversal of 26525428000 is 82452562.

It can be written as a sum of positive squares in 8 ways, for example, as 14249674384 + 12275753616 = 119372^2 + 110796^2 .

It is a super-3 number, since 3×265254280003 (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (26525428001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 371172 + ... + 436828.

Almost surely, 226525428000 is an apocalyptic number.

26525428000 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 26525428000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32909628024).

26525428000 is an abundant number, since it is smaller than the sum of its proper divisors (39293828048).

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

26525428000 is a wasteful number, since it uses less digits than its factorization.

26525428000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65783 (or 65765 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

The spelling of 26525428000 in words is "twenty-six billion, five hundred twenty-five million, four hundred twenty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 101 125 160 200 202 250 400 404 500 505 800 808 1000 1010 1616 2000 2020 2525 3232 4000 4040 5050 8080 10100 12625 16160 20200 25250 40400 50500 65657 80800 101000 131314 202000 262628 328285 404000 525256 656570 1050512 1313140 1641425 2101024 2626280 3282850 5252560 6565700 6631357 8207125 10505120 13131400 13262714 16414250 26262800 26525428 32828500 33156785 52525600 53050856 65657000 66313570 106101712 131314000 132627140 165783925 212203424 262628000 265254280 331567850 530508560 663135700 828919625 1061017120 1326271400 1657839250 2652542800 3315678500 5305085600 6631357000 13262714000 26525428000