Search a number
-
+
20051245242400 = 255247618742259
BaseRepresentation
bin1001000111100100010110…
…10110011001100000100000
32121222212202202102112201111
410203302023112121200200
510112004422240224100
6110351225341313104
74136440356263641
oct443621326314040
977885682375644
1020051245242400
11643075a228139
1222ba095565794
13b25a94028988
144d46b20d76c8
1524b8a3c016ba
hex123c8b599820

20051245242400 has 144 divisors (see below), whose sum is σ = 50811134129280. Its totient is φ = 7721162265600.

The previous prime is 20051245242383. The next prime is 20051245242473. The reversal of 20051245242400 is 424254215002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2077530 + ... + 6664729.

It is an arithmetic number, because the mean of its divisors is an integer number (352855098120).

Almost surely, 220051245242400 is an apocalyptic number.

20051245242400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20051245242400 is an abundant number, since it is smaller than the sum of its proper divisors (30759888886880).

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

20051245242400 is a wasteful number, since it uses less digits than its factorization.

20051245242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8742387 (or 8742374 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 31.

Adding to 20051245242400 its reverse (424254215002), we get a palindrome (20475499457402).

The spelling of 20051245242400 in words is "twenty trillion, fifty-one billion, two hundred forty-five million, two hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 61 80 94 100 122 160 188 200 235 244 305 376 400 470 488 610 752 800 940 976 1175 1220 1504 1525 1880 1952 2350 2440 2867 3050 3760 4700 4880 5734 6100 7520 9400 9760 11468 12200 14335 18800 22936 24400 28670 37600 45872 48800 57340 71675 91744 114680 143350 229360 286700 458720 573400 1146800 2293600 8742259 17484518 34969036 43711295 69938072 87422590 139876144 174845180 218556475 279752288 349690360 410886173 437112950 533277799 699380720 821772346 874225900 1066555598 1398761440 1643544692 1748451800 2054430865 2133111196 2666388995 3287089384 3496903600 4108861730 4266222392 5332777990 6574178768 6993807200 8217723460 8532444784 10272154325 10665555980 13148357536 13331944975 16435446920 17064889568 20544308650 21331111960 25064056553 26663889950 32870893840 41088617300 42662223920 50128113106 53327779900 65741787680 82177234600 85324447840 100256226212 106655559800 125320282765 164354469200 200512452424 213311119600 250640565530 328708938400 401024904848 426622239200 501281131060 626601413825 802049809696 1002562262120 1253202827650 2005124524240 2506405655300 4010249048480 5012811310600 10025622621200 20051245242400