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114648822635904 = 273299521547427
BaseRepresentation
bin11010000100010111000010…
…010110001101110110000000
3120000221022122120111102020200
4122010113002112031312000
5110011401242043322104
61043500535250405200
733102050463113244
oct3204270226156600
9500838576442220
10114648822635904
1133592324542327
1210a37862890800
134bc8450899a5b
142045065738424
15d3c42b866b39
hex6845c258dd80

114648822635904 has 48 divisors (see below), whose sum is σ = 329913929723820. Its totient is φ = 38216274211584.

The previous prime is 114648822635903. The next prime is 114648822636043. The reversal of 114648822635904 is 409536228846411.

114648822635904 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 488 + 2 + 2 + 63 + 5 + 90 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114648822635903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 49760772562 + ... + 49760774865.

Almost surely, 2114648822635904 is an apocalyptic number.

It is an amenable number.

114648822635904 is an abundant number, since it is smaller than the sum of its proper divisors (215265107087916).

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

114648822635904 is an equidigital number, since it uses as much as digits as its factorization.

114648822635904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99521547447 (or 99521547432 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 114648822635904 in words is "one hundred fourteen trillion, six hundred forty-eight billion, eight hundred twenty-two million, six hundred thirty-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 99521547427 199043094854 298564642281 398086189708 597129284562 796172379416 895693926843 1194258569124 1592344758832 1791387853686 2388517138248 3184689517664 3582775707372 4777034276496 6369379035328 7165551414744 9554068552992 12738758070656 14331102829488 19108137105984 28662205658976 38216274211968 57324411317952 114648822635904