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25552022040240 = 2435397557481469
BaseRepresentation
bin1011100111101010010110…
…01100100110111010110000
310100110202020100102210200120
411303311023030212322300
511322121020120241430
6130202234210450240
75245033632505263
oct563651314467260
9110422210383616
1025552022040240
118161608335883
122a481a0593980
131134712158aa7
14644a1dd0ccda
152e4a00348610
hex173d4b326eb0

25552022040240 has 160 divisors (see below), whose sum is σ = 79553526909120. Its totient is φ = 6784492695552.

The previous prime is 25552022040211. The next prime is 25552022040247. The reversal of 25552022040240 is 4204022025552.

It is not an unprimeable number, because it can be changed into a prime (25552022040247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52830226 + ... + 53311694.

It is an arithmetic number, because the mean of its divisors is an integer number (497209543182).

Almost surely, 225552022040240 is an apocalyptic number.

25552022040240 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 25552022040240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39776763454560).

25552022040240 is an abundant number, since it is smaller than the sum of its proper divisors (54001504868880).

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

25552022040240 is a wasteful number, since it uses less digits than its factorization.

25552022040240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482439 (or 482433 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 33.

Adding to 25552022040240 its reverse (4204022025552), we get a palindrome (29756044065792).

The spelling of 25552022040240 in words is "twenty-five trillion, five hundred fifty-two billion, twenty-two million, forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 397 557 794 1114 1191 1588 1671 1985 2228 2382 2785 3176 3342 3970 4456 4764 5570 5955 6352 6684 7940 8355 8912 9528 11140 11910 13368 15880 16710 19056 22280 23820 26736 31760 33420 44560 47640 66840 95280 133680 221129 442258 481469 663387 884516 962938 1105645 1326774 1444407 1769032 1925876 2211290 2407345 2653548 2888814 3316935 3538064 3851752 4422580 4814690 5307096 5777628 6633870 7222035 7703504 8845160 9629380 10614192 11555256 13267740 14444070 17690320 19258760 23110512 26535480 28888140 38517520 53070960 57776280 115552560 191143193 268178233 382286386 536356466 573429579 764572772 804534699 955715965 1072712932 1146859158 1340891165 1529145544 1609069398 1911431930 2145425864 2293718316 2681782330 2867147895 3058291088 3218138796 3822863860 4022673495 4290851728 4587436632 5363564660 5734295790 6436277592 7645727720 8045346990 9174873264 10727129320 11468591580 12872555184 15291455440 16090693980 21454258640 22937183160 32181387960 45874366320 64362775920 106466758501 212933517002 319400275503 425867034004 532333792505 638800551006 851734068008 1064667585010 1277601102012 1597001377515 1703468136016 2129335170020 2555202204024 3194002755030 4258670340040 5110404408048 6388005510060 8517340680080 12776011020120 25552022040240