Search a number
-
+
63115411451136 = 2831141182220677
BaseRepresentation
bin11100101100111001100111…
…01011011110110100000000
322021110202220112122222012120
432112130303223132310000
531233040330312414021
6342122453021524240
716202636506354452
oct1626346353366400
9267422815588176
1063115411451136
1119124106392260
1270b4233713680
13292a9b0a57685
141182b333ba2d2
15746b9b51c2c6
hex396733aded00

63115411451136 has 144 divisors (see below), whose sum is σ = 187719369179328. Its totient is φ = 18659397222400.

The previous prime is 63115411451119. The next prime is 63115411451171.

63115411451136 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90763971 + ... + 91456706.

It is an arithmetic number, because the mean of its divisors is an integer number (1303606730412).

Almost surely, 263115411451136 is an apocalyptic number.

63115411451136 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

63115411451136 is an abundant number, since it is smaller than the sum of its proper divisors (124603957728192).

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

63115411451136 is a wasteful number, since it uses less digits than its factorization.

63115411451136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182220748 (or 182220734 counting only the distinct ones).

The product of its digits is 129600, while the sum is 42.

It can be divided in two parts, 6311541 and 1451136, that added together give a palindrome (7762677).

The spelling of 63115411451136 in words is "sixty-three trillion, one hundred fifteen billion, four hundred eleven million, four hundred fifty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 41 44 48 64 66 82 88 96 123 128 132 164 176 192 246 256 264 328 352 384 451 492 528 656 704 768 902 984 1056 1312 1353 1408 1804 1968 2112 2624 2706 2816 3608 3936 4224 5248 5412 7216 7872 8448 10496 10824 14432 15744 21648 28864 31488 43296 57728 86592 115456 173184 346368 182220677 364441354 546662031 728882708 1093324062 1457765416 2004427447 2186648124 2915530832 4008854894 4373296248 5831061664 6013282341 7471047757 8017709788 8746592496 11662123328 12026564682 14942095514 16035419576 17493184992 22413143271 23324246656 24053129364 29884191028 32070839152 34986369984 44826286542 46648493312 48106258728 59768382056 64141678304 69972739968 82181525327 89652573084 96212517456 119536764112 128283356608 139945479936 164363050654 179305146168 192425034912 239073528224 246544575981 256566713216 328726101308 358610292336 384850069824 478147056448 493089151962 513133426432 657452202616 717220584672 769700139648 956294112896 986178303924 1314904405232 1434441169344 1539400279296 1912588225792 1972356607848 2629808810464 2868882338688 3944713215696 5259617620928 5737764677376 7889426431392 10519235241856 15778852862784 21038470483712 31557705725568 63115411451136