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128168812048 = 2431675417129
BaseRepresentation
bin111011101011101110…
…1001101111000010000
3110020211022020020222211
41313113131031320100
54044442203441143
6134514022241504
712155066632654
oct1672735157020
9406738206884
10128168812048
114a3a0a53562
1220a0b586294
13c1176b4b74
1462bc1d4a64
1535021e949d
hex1dd774de10

128168812048 has 80 divisors (see below), whose sum is σ = 260681013760. Its totient is φ = 60970060800.

The previous prime is 128168812027. The next prime is 128168812117. The reversal of 128168812048 is 840218861821.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 128168811992 and 128168812010.

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, 17974948 + ... + 17982076.

It is an arithmetic number, because the mean of its divisors is an integer number (3258512672).

Almost surely, 2128168812048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128168812048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130340506880).

128168812048 is an abundant number, since it is smaller than the sum of its proper divisors (132512201712).

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

128168812048 is a wasteful number, since it uses less digits than its factorization.

128168812048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7776 (or 7770 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 49.

The spelling of 128168812048 in words is "one hundred twenty-eight billion, one hundred sixty-eight million, eight hundred twelve thousand, forty-eight".

Divisors: 1 2 4 8 16 31 62 67 124 134 248 268 496 536 541 1072 1082 2077 2164 4154 4328 7129 8308 8656 14258 16616 16771 28516 33232 33542 36247 57032 67084 72494 114064 134168 144988 220999 268336 289976 441998 477643 579952 883996 955286 1123657 1767992 1910572 2247314 3535984 3821144 3856789 4494628 7642288 7713578 8989256 14806933 15427156 17978512 29613866 30854312 59227732 61708624 118455464 119560459 236910928 239120918 258404863 478241836 516809726 956483672 1033619452 1912967344 2067238904 4134477808 8010550753 16021101506 32042203012 64084406024 128168812048