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12048939389088 = 2532732991811657
BaseRepresentation
bin1010111101010101110011…
…0000001001000010100000
31120122212102022011122202200
42233111130300021002200
53034402211440422323
641343112323013200
72352335643654120
oct257253460110240
946585368148680
1012048939389088
113925a21196208
1214271b950a200
136952967c0394
142d9259504c80
1515d649610443
hexaf55cc090a0

12048939389088 has 144 divisors (see below), whose sum is σ = 39170944612800. Its totient is φ = 3441508697088.

The previous prime is 12048939389077. The next prime is 12048939389117. The reversal of 12048939389088 is 88098393984021.

12048939389088 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 89 + 393 + 89 + 0 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 5744956 + ... + 7556612.

It is an arithmetic number, because the mean of its divisors is an integer number (272020448700).

Almost surely, 212048939389088 is an apocalyptic number.

12048939389088 is a gapful number since it is divisible by the number (18) 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 12048939389088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19585472306400).

12048939389088 is an abundant number, since it is smaller than the sum of its proper divisors (27122005223712).

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

12048939389088 is a wasteful number, since it uses less digits than its factorization.

12048939389088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1814979 (or 1814968 counting only the distinct ones).

The product of its (nonzero) digits is 214990848, while the sum is 72.

The spelling of 12048939389088 in words is "twelve trillion, forty-eight billion, nine hundred thirty-nine million, three hundred eighty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 3299 6598 9897 13196 19794 23093 26392 29691 39588 46186 52784 59382 69279 79176 92372 105568 118764 138558 158352 184744 207837 237528 277116 316704 369488 415674 475056 554232 738976 831348 950112 1108464 1662696 1811657 2216928 3325392 3623314 5434971 6650784 7246628 10869942 12681599 14493256 16304913 21739884 25363198 28986512 32609826 38044797 43479768 50726396 57973024 65219652 76089594 86959536 101452792 114134391 130439304 152179188 173919072 202905584 228268782 260878608 304358376 405811168 456537564 521757216 608716752 913075128 1217433504 1826150256 3652300512 5976656443 11953312886 17929969329 23906625772 35859938658 41836595101 47813251544 53789907987 71719877316 83673190202 95626503088 107579815974 125509785303 143439754632 167346380404 191253006176 215159631948 251019570606 286879509264 334692760808 376529355909 430319263896 502039141212 573759018528 669385521616 753058711818 860638527792 1004078282424 1338771043232 1506117423636 1721277055584 2008156564848 3012234847272 4016313129696 6024469694544 12048939389088