Search a number
-
+
25585938990 = 236523152597
BaseRepresentation
bin10111110101000010…
…100111001000101110
32110001010110101000000
4113311002213020232
5404400000021430
615430511245130
71564020615213
oct276502471056
973033411000
1025585938990
11a93a660727
124b608197a6
132549a4ac91
14134a10db0a
159eb363e60
hex5f50a722e

25585938990 has 112 divisors (see below), whose sum is σ = 72053113248. Its totient is φ = 6526225728.

The previous prime is 25585938943. The next prime is 25585939019. The reversal of 25585938990 is 9983958552.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 91372 + ... + 243968.

Almost surely, 225585938990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25585938990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36026556624).

25585938990 is an abundant number, since it is smaller than the sum of its proper divisors (46467174258).

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

25585938990 is a wasteful number, since it uses less digits than its factorization.

25585938990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152645 (or 152630 counting only the distinct ones).

The product of its (nonzero) digits is 34992000, while the sum is 63.

It can be divided in two parts, 255859 and 38990, that added together give a square (294849 = 5432).

The spelling of 25585938990 in words is "twenty-five billion, five hundred eighty-five million, nine hundred thirty-eight thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 81 90 115 135 138 162 207 230 243 270 345 405 414 486 621 690 729 810 1035 1215 1242 1458 1863 2070 2430 3105 3645 3726 5589 6210 7290 9315 11178 16767 18630 27945 33534 55890 83835 152597 167670 305194 457791 762985 915582 1373373 1525970 2288955 2746746 3509731 4120119 4577910 6866865 7019462 8240238 10529193 12360357 13733730 17548655 20600595 21058386 24720714 31587579 35097310 37081071 41201190 52645965 61801785 63175158 74162142 94762737 105291930 111243213 123603570 157937895 185405355 189525474 222486426 284288211 315875790 370810710 473813685 556216065 568576422 852864633 947627370 1112432130 1421441055 1705729266 2558593899 2842882110 4264323165 5117187798 8528646330 12792969495 25585938990