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114412582863648 = 25371634839147
BaseRepresentation
bin11010000000111011000001…
…010111000000001100100000
3120000002201212121200120000000
4122000323001113000030200
5104444013432203114043
61043200225344300000
733046015314145446
oct3200730127001440
9500081777616000
10114412582863648
1133501116329923
12109b9b12611600
134bac0a2548774
142037854626b96
15d36201abc2d3
hex680ec15c0320

114412582863648 has 96 divisors (see below), whose sum is σ = 337823161542720. Its totient is φ = 38137527597888.

The previous prime is 114412582863629. The next prime is 114412582863721. The reversal of 114412582863648 is 846368285214411.

114412582863648 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 1 + 2 + 582 + 8 + 6 + 3 + 6 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1144125828636482 (a number of 29 digits) contains 22 as substring.

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, 817349590 + ... + 817489557.

It is an arithmetic number, because the mean of its divisors is an integer number (3518991266070).

Almost surely, 2114412582863648 is an apocalyptic number.

114412582863648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

114412582863648 is an abundant number, since it is smaller than the sum of its proper divisors (223410578679072).

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

114412582863648 is an frugal number, since it uses more digits than its factorization.

114412582863648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634839178 (or 1634839152 counting only the distinct ones).

The product of its digits is 70778880, while the sum is 63.

The spelling of 114412582863648 in words is "one hundred fourteen trillion, four hundred twelve billion, five hundred eighty-two million, eight hundred sixty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2187 2592 2916 3888 4374 5832 7776 8748 11664 17496 23328 34992 69984 1634839147 3269678294 4904517441 6539356588 9809034882 13078713176 14713552323 19618069764 26157426352 29427104646 39236139528 44140656969 52314852704 58854209292 78472279056 88281313938 117708418584 132421970907 156944558112 176562627876 235416837168 264843941814 353125255752 397265912721 470833674336 529687883628 706250511504 794531825442 1059375767256 1191797738163 1412501023008 1589063650884 2118751534512 2383595476326 3178127301768 3575393214489 4237503069024 4767190952652 6356254603536 7150786428978 9534381905304 12712509207072 14301572857956 19068763810608 28603145715912 38137527621216 57206291431824 114412582863648